The influence of variable electrical conductivity on non-Darcian Casson nanofluid flow with first and second-order slip conditions
Simulation of non-Darcian Casson flow subject to a second-order velocity slip and heat transfer due to nanofluid over a permeable stretching surface is exemplified numerically. The second-order velocity slip interaction is quite different from the first-order velocity slip as it results in two slip...
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| Published in | Partial differential equations in applied mathematics : a spin-off of Applied Mathematics Letters Vol. 4; p. 100084 |
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| Main Authors | , , , |
| Format | Journal Article |
| Language | English |
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Elsevier B.V
01.12.2021
Elsevier |
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| Abstract | Simulation of non-Darcian Casson flow subject to a second-order velocity slip and heat transfer due to nanofluid over a permeable stretching surface is exemplified numerically. The second-order velocity slip interaction is quite different from the first-order velocity slip as it results in two slip parameters that can effectively regulate the boundary layer development. To the best of the authors’ knowledge, this parameter was here incorporated for the first time in such a field of radiative Casson nanofluid flow. The model, which is governed by the system of PDEs, accomplishes the Chebyshev collocation Method (CCM). It is vital to remark that the account for the second-order slip velocity in the boundary conditions decreases the velocity component. In addition, the role of (Prandtl-number = 7 water) on the Skin friction coefficient becomes more significant when the Variable viscosity increases compared to the (Prandtl-number = 0.71 air). Also, non-Newtonian Casson fluid parameter show a solid characteristic when yield stress is more than the shear stress. Consequently, those parameters contribute to the cooling plate, while others have the opposite effect. Therefore, the cooling/heating mechanism can be developed with appropriate Casson fluid model and the control parameter. At last, this article includes some future recommendations. |
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| AbstractList | Simulation of non-Darcian Casson flow subject to a second-order velocity slip and heat transfer due to nanofluid over a permeable stretching surface is exemplified numerically. The second-order velocity slip interaction is quite different from the first-order velocity slip as it results in two slip parameters that can effectively regulate the boundary layer development. To the best of the authors’ knowledge, this parameter was here incorporated for the first time in such a field of radiative Casson nanofluid flow. The model, which is governed by the system of PDEs, accomplishes the Chebyshev collocation Method (CCM). It is vital to remark that the account for the second-order slip velocity in the boundary conditions decreases the velocity component. In addition, the role of (Prandtl-number = 7 water) on the Skin friction coefficient becomes more significant when the Variable viscosity increases compared to the (Prandtl-number = 0.71 air). Also, non-Newtonian Casson fluid parameter show a solid characteristic when yield stress is more than the shear stress. Consequently, those parameters contribute to the cooling plate, while others have the opposite effect. Therefore, the cooling/heating mechanism can be developed with appropriate Casson fluid model and the control parameter. At last, this article includes some future recommendations. |
| ArticleNumber | 100084 |
| Author | Ajala, Olusegun Adebayo Abdulraheem, Abdulrazaq Akindele, Akintayo Oladimeji Obalalu, Adebowale Martins |
| Author_xml | – sequence: 1 givenname: Adebowale Martins orcidid: 0000-0002-7597-0525 surname: Obalalu fullname: Obalalu, Adebowale Martins email: adebowale.obalalu17@kwasu.edu.ng organization: Department of Statistics and Mathematical Sciences, Kwara State University, Malete, Nigeria – sequence: 2 givenname: Olusegun Adebayo surname: Ajala fullname: Ajala, Olusegun Adebayo organization: Department of Pure and Applied Mathematics, Ladoke Akintola University of Technology, Ogbomoso, Nigeria – sequence: 3 givenname: Abdulrazaq surname: Abdulraheem fullname: Abdulraheem, Abdulrazaq organization: Department of Statistics and Mathematical Sciences, Kwara State University, Malete, Nigeria – sequence: 4 givenname: Akintayo Oladimeji surname: Akindele fullname: Akindele, Akintayo Oladimeji organization: Department of Pure and Applied Mathematics, Ladoke Akintola University of Technology, Ogbomoso, Nigeria |
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| Cites_doi | 10.1016/j.net.2017.07.028 10.3390/e21060592 10.1134/S0021894416030172 10.1016/j.apm.2005.05.013 10.1016/j.physa.2019.123028 10.1115/1.2822013 10.1115/1.2150834 10.1371/journal.pone.0069811 10.1016/j.apt.2015.01.003 10.1016/j.heliyon.2019.e03076 10.1007/s10404-012-1012-9 10.1615/JPorMedia.v19.i9.40 10.1007/BF01215420 10.1016/j.ijheatmasstransfer.2010.01.032 10.4028/www.scientific.net/DDF.392.123 10.2298/TSCI131114022S 10.1016/j.aej.2016.04.020 10.1016/j.rinp.2016.11.063 10.1088/0253-6102/70/1/49 10.1063/1.5113688 10.1038/s41598-021-81747-x 10.1007/s10765-009-0656-5 10.1016/j.csite.2020.100828 10.1016/j.aej.2016.03.003 10.1016/j.applthermaleng.2018.09.117 10.1080/16583655.2020.1748844 10.1007/BF01463174 10.1063/1.3052923 10.1155/2020/6617652 10.1016/j.ijthermalsci.2011.02.019 |
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| Keywords | Viscosity Thermal conductivity Thermal diffusivity Casson nanofluid Variable electrical conductivity (VEC) |
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| References | El-Aziz A, Afify AA. MHD Casson fluid flow over a stretching sheet with entropy generation analysis and Hall influence. 2019;21(6):592 Wahaab, Adebayo, Rostami (b19) 2021 Medebber MA, Aissa A, Slimani MEA, Retiel N. Numerical study of natural convection in vertical cylindrical annular enclosure filled with cu-water nanofluid under magnetic fields. 392:123–137. Myers, Charpin, Tshehla (b23) 2006; 30 Achard (b10) 2005 Gbadeyan, Titiloye, Adeosun (b31) 2020; 6 Khan, Pop (b38) 2010; 53 Fukui, Kaneko (b6) 1990; 33 Qayyum, Hayat, Shehzad, Alsaedi (b18) 2017; 49 Ramzan, Shaheen, Chung, Kadry, Chu, Howari (b26) 2021; 11 Zhang, Meng, Wei (b2) 2012; 13 Mustafa, Abbas, Arif, Javed, Ghaffari (b34) 2020; 540 Shaw, Mahanta, Sibanda (b37) 2016; 55 Qureshi, Nawaz, Rana, Zubair (b30) 2018; 70 Bilal, Malik, Hussain, Khan (b24) 2017; 7 Rahman, Rahman, Samad, Alam (b32) 2009; 30 Obalalu, Kazeem, Abdulrazaq (b17) 2020; 14 Kafoussias, Williams (b22) 1995; 110 Ibrahim, Gamachu (b33) 2019; 9 Javed, Mustafa (b35) 2016; 57 Choi, Eastman (b8) 1995 Shrama, Singh (b21) 2010; 13 Wu (b5) 2008; 93 Vaidya, Prasad, Tlili (b7) 2021; 24 Obalalu, Ajala, Adeosun, Wahaab, Oluwaseyi, Adebayo (b25) 2020; 62 Andersson (b3) 2002; 158 Abolbashari, Freidoonimehr, Nazari, Rashidi (b16) 2015; 26 Nadeem, Haq, Akbar, Lee, Khan (b29) 2013; 8 Makinde, Aziz (b39) 2011; 50 . Obalalu, Wahaab, Adebayo (b36) 2020; 14 Buongiorno (b9) 2006; 128 Sajadi, Sadati, Nourimotlagh, Pakbaz, Ashtiani, Kowsari (b11) 2014; 18 Makinde, Eegunjobi (b4) 2016; 19 Rafique, Alotaibi, Nofal, Anwar, Misiran, Khan (b12) 2020; 2020 Casson (b27) 1959 Gad-El-Hak (b1) 1999 Oyelakin, Mondal, Sibanda (b15) 2016; 55 Malekan, Khosravi, Zhao (b13) 2019; 146 Ibrahim, Gamachu (b20) 2019; 9 Buongiorno (10.1016/j.padiff.2021.100084_b9) 2006; 128 Qureshi (10.1016/j.padiff.2021.100084_b30) 2018; 70 Mustafa (10.1016/j.padiff.2021.100084_b34) 2020; 540 Gbadeyan (10.1016/j.padiff.2021.100084_b31) 2020; 6 Shaw (10.1016/j.padiff.2021.100084_b37) 2016; 55 Fukui (10.1016/j.padiff.2021.100084_b6) 1990; 33 Sajadi (10.1016/j.padiff.2021.100084_b11) 2014; 18 Obalalu (10.1016/j.padiff.2021.100084_b25) 2020; 62 Wahaab (10.1016/j.padiff.2021.100084_b19) 2021 Andersson (10.1016/j.padiff.2021.100084_b3) 2002; 158 Rafique (10.1016/j.padiff.2021.100084_b12) 2020; 2020 Malekan (10.1016/j.padiff.2021.100084_b13) 2019; 146 Obalalu (10.1016/j.padiff.2021.100084_b17) 2020; 14 Abolbashari (10.1016/j.padiff.2021.100084_b16) 2015; 26 Obalalu (10.1016/j.padiff.2021.100084_b36) 2020; 14 Ibrahim (10.1016/j.padiff.2021.100084_b33) 2019; 9 Choi (10.1016/j.padiff.2021.100084_b8) 1995 10.1016/j.padiff.2021.100084_b14 Khan (10.1016/j.padiff.2021.100084_b38) 2010; 53 Qayyum (10.1016/j.padiff.2021.100084_b18) 2017; 49 Bilal (10.1016/j.padiff.2021.100084_b24) 2017; 7 Ramzan (10.1016/j.padiff.2021.100084_b26) 2021; 11 Casson (10.1016/j.padiff.2021.100084_b27) 1959 Zhang (10.1016/j.padiff.2021.100084_b2) 2012; 13 Rahman (10.1016/j.padiff.2021.100084_b32) 2009; 30 Makinde (10.1016/j.padiff.2021.100084_b4) 2016; 19 Oyelakin (10.1016/j.padiff.2021.100084_b15) 2016; 55 Vaidya (10.1016/j.padiff.2021.100084_b7) 2021; 24 Gad-El-Hak (10.1016/j.padiff.2021.100084_b1) 1999 Ibrahim (10.1016/j.padiff.2021.100084_b20) 2019; 9 Myers (10.1016/j.padiff.2021.100084_b23) 2006; 30 Nadeem (10.1016/j.padiff.2021.100084_b29) 2013; 8 Achard (10.1016/j.padiff.2021.100084_b10) 2005 Javed (10.1016/j.padiff.2021.100084_b35) 2016; 57 Makinde (10.1016/j.padiff.2021.100084_b39) 2011; 50 Shrama (10.1016/j.padiff.2021.100084_b21) 2010; 13 Wu (10.1016/j.padiff.2021.100084_b5) 2008; 93 Kafoussias (10.1016/j.padiff.2021.100084_b22) 1995; 110 10.1016/j.padiff.2021.100084_b28 |
| References_xml | – start-page: 1640 year: 2005 end-page: 1940 ident: b10 article-title: James Clerk Maxwell A treatise on electricity and magnetism, (1873) publication-title: Landmark Writings in Western Mathematics – volume: 62 start-page: 1532 year: 2020 end-page: 1545 ident: b25 article-title: Natural convective non-Newtonian casson fluid flow in a porous medium with slip and temperature jump boundary conditions publication-title: Petrol Coal – volume: 57 start-page: 527 year: 2016 end-page: 536 ident: b35 article-title: Slip effects on a mixed convection flow of a third-grade fluid near the orthogonal stagnation point on a vertical surface publication-title: J Appl Mech Techn Phys – volume: 19 start-page: 799 year: 2016 end-page: 810 ident: b4 article-title: Entropy analysis of thermally radiating magnetohydrodynamic slip flow of casson fluid in a microchannel filled with saturated porous media publication-title: J Porous Media – volume: 49 start-page: 1636 year: 2017 end-page: 1644 ident: b18 article-title: Effect of a chemical reaction on magnetohydrodynamic (MHD) stagnation point flow of Walters-B nanofluid with Newtonian heat and mass conditions publication-title: Nucl Eng Technol – volume: 7 start-page: 204 year: 2017 end-page: 212 ident: b24 article-title: Effects of temperature dependent conductivity and absorptive/generative heat transfer on MHD three dimensional flow of Williamson fluid due to bidirectional non-linear stretching surface publication-title: Results Phys – volume: 70 start-page: 049 year: 2018 ident: b30 article-title: Galerkin finite element study on the effects of variable thermal conductivity and variable mass diffusion conductance on heat and mass transfer publication-title: Commun Theor Phys – volume: 146 start-page: 146 year: 2019 end-page: 159 ident: b13 article-title: The influence of magnetic field on heat transfer of magnetic nanofluid in a double pipe heat exchanger proposed in a small-scale CAES system publication-title: Appl Therm Eng – volume: 6 year: 2020 ident: b31 article-title: Effect of variable thermal conductivity and viscosity on Casson nanofluid flow with convective heating and velocity slip publication-title: Heliyon – volume: 540 year: 2020 ident: b34 article-title: Stability analysis for multiple solutions of boundary layer flow towards a shrinking sheet: Analytical solution by using least square method publication-title: Physica A – year: 1999 ident: b1 article-title: The fluid mechanics of microdevices—the Freeman scholar lecture publication-title: J Fluid Eng – volume: 55 start-page: 1295 year: 2016 end-page: 1304 ident: b37 article-title: Non-linear thermal convection in a casson fluid flow over a horizontal plate with convective boundary condition publication-title: Alexandria Eng J – volume: 13 start-page: 845 year: 2012 end-page: 882 ident: b2 article-title: A review on slip models for gas microflows publication-title: Microfluid Nanofluidics – volume: 93 year: 2008 ident: b5 article-title: A slip model for rarefied gas flows at arbitrary Knudsen number publication-title: Appl Phys Lett – year: 1995 ident: b8 article-title: Enhancing Thermal Conductivity of Fluids with Nanoparticles – volume: 53 start-page: 2477 year: 2010 end-page: 2483 ident: b38 article-title: Boundary-layer flow of a nanofluid past a stretching sheet publication-title: Int J Heat – volume: 9 year: 2019 ident: b33 article-title: Nonlinear convection flow of Williamson nanofluid past a radially stretching surface publication-title: AIP Adv – volume: 14 start-page: 541 year: 2020 end-page: 548 ident: b36 article-title: Heat transfer in an unsteady vertical porous channel with injection/suction in the presence of heat generation publication-title: J Taibah Univ Sci – volume: 110 start-page: 123 year: 1995 end-page: 137 ident: b22 article-title: The effect of temperature-dependent viscosity on free-forced convective laminar boundary layer flow past a vertical isothermal flat plate publication-title: J Acta Mech – volume: 30 start-page: 1649 year: 2009 ident: b32 article-title: Heat transfer in a micropolar fluid along a non-linear stretching sheet with a temperature-dependent viscosity and variable surface temperature publication-title: Int J Thermophys – volume: 8 year: 2013 ident: b29 article-title: Numerical study of boundary layer flow and heat transfer of Oldroyd-B nanofluid towards a stretching sheet publication-title: PLoS One – volume: 9 year: 2019 ident: b20 article-title: Nonlinear convection flow of Williamson nanofluid past a radially stretching surface publication-title: AIP Adv – volume: 33 start-page: 76 year: 1990 end-page: 85 ident: b6 article-title: Dynamic analysis of flying head sliders with ultra-thin spacing based on the Boltzmann equation: Comparison with two limiting approximations publication-title: JSME Int J III – volume: 14 start-page: 503 year: 2020 end-page: 519 ident: b17 article-title: Numerical simulation of entropy generation for Casson fluid flow through permeable walls and convective heating with thermal radiation effect publication-title: J Serbian Soc Comput Mech – year: 1959 ident: b27 article-title: A flow equation for pigment-oil suspensions of the printing ink type publication-title: Rheol Disperse Syst – volume: 24 year: 2021 ident: b7 article-title: Mixed convective nanofluid flow over a non linearly stretched Riga plate publication-title: Case Stud Therm Eng – volume: 50 start-page: 1326 year: 2011 end-page: 1332 ident: b39 article-title: Boundary layer flow of a nanofluid past a stretching sheet with a convective boundary condition publication-title: Int J Therm Sci – volume: 26 start-page: 542 year: 2015 end-page: 552 ident: b16 article-title: Analytical modeling of entropy generation for Casson nano-fluid flow induced by a stretching surface publication-title: J Adv Powder Technol – reference: . – start-page: 1 year: 2021 end-page: 11 ident: b19 article-title: Microwave absorption performance of Ni 0.5 Zn 0.5 Fe 2 O 4 nanoclusters at 8.2–18 GHz frequency publication-title: Indian J Phys – volume: 128 start-page: 240 year: 2006 end-page: 250 ident: b9 article-title: Convective transport in nanofluids publication-title: J Heat Transfer – volume: 2020 year: 2020 ident: b12 article-title: Numerical solutions of micropolar nanofluid over an inclined surface using Keller box analysis publication-title: J Math – volume: 158 start-page: 121 year: 2002 end-page: 125 ident: b3 article-title: Slip flow past a stretching surface publication-title: Acta Mech – volume: 30 start-page: 799 year: 2006 end-page: 815 ident: b23 article-title: The flow of a variable viscosity fluid between parallel plates with shear heating publication-title: Appl Math Model – volume: 18 start-page: 1315 year: 2014 end-page: 1326 ident: b11 article-title: Experimental study on turbulent convective heat transfer, pressure drop, and thermal performance characterization of ZnO/water nanofluid flow in a circular tube publication-title: Therm Sci – volume: 55 start-page: 1025 year: 2016 end-page: 1035 ident: b15 article-title: Unsteady casson nanofluid flow over a stretching sheet with thermal radiation, convective and slip boundary conditions publication-title: Alexandria Eng J – volume: 11 start-page: 1 year: 2021 end-page: 19 ident: b26 article-title: Impact of Newtonian heating and Fourier and Fick’s laws on a magnetohydrodynamic dusty Casson nanofluid flow with variable heat source/sink over a stretching cylinder publication-title: Sci Rep – volume: 13 start-page: 235 year: 2010 end-page: 242 ident: b21 article-title: Steady MHD natural convection flow with variable electrical conductivity and heat generation along an isothermal vertical plate publication-title: J Appl Sci Eng – reference: Medebber MA, Aissa A, Slimani MEA, Retiel N. Numerical study of natural convection in vertical cylindrical annular enclosure filled with cu-water nanofluid under magnetic fields. 392:123–137. – reference: El-Aziz A, Afify AA. MHD Casson fluid flow over a stretching sheet with entropy generation analysis and Hall influence. 2019;21(6):592, – volume: 49 start-page: 1636 issue: 8 year: 2017 ident: 10.1016/j.padiff.2021.100084_b18 article-title: Effect of a chemical reaction on magnetohydrodynamic (MHD) stagnation point flow of Walters-B nanofluid with Newtonian heat and mass conditions publication-title: Nucl Eng Technol doi: 10.1016/j.net.2017.07.028 – ident: 10.1016/j.padiff.2021.100084_b28 doi: 10.3390/e21060592 – volume: 14 start-page: 503 issue: 2 year: 2020 ident: 10.1016/j.padiff.2021.100084_b17 article-title: Numerical simulation of entropy generation for Casson fluid flow through permeable walls and convective heating with thermal radiation effect publication-title: J Serbian Soc Comput Mech – start-page: 1640 year: 2005 ident: 10.1016/j.padiff.2021.100084_b10 article-title: James Clerk Maxwell A treatise on electricity and magnetism, (1873) – volume: 57 start-page: 527 issue: 3 year: 2016 ident: 10.1016/j.padiff.2021.100084_b35 article-title: Slip effects on a mixed convection flow of a third-grade fluid near the orthogonal stagnation point on a vertical surface publication-title: J Appl Mech Techn Phys doi: 10.1134/S0021894416030172 – volume: 30 start-page: 799 issue: 9 year: 2006 ident: 10.1016/j.padiff.2021.100084_b23 article-title: The flow of a variable viscosity fluid between parallel plates with shear heating publication-title: Appl Math Model doi: 10.1016/j.apm.2005.05.013 – volume: 540 year: 2020 ident: 10.1016/j.padiff.2021.100084_b34 article-title: Stability analysis for multiple solutions of boundary layer flow towards a shrinking sheet: Analytical solution by using least square method publication-title: Physica A doi: 10.1016/j.physa.2019.123028 – year: 1999 ident: 10.1016/j.padiff.2021.100084_b1 article-title: The fluid mechanics of microdevices—the Freeman scholar lecture publication-title: J Fluid Eng doi: 10.1115/1.2822013 – volume: 128 start-page: 240 issue: 3 year: 2006 ident: 10.1016/j.padiff.2021.100084_b9 article-title: Convective transport in nanofluids publication-title: J Heat Transfer doi: 10.1115/1.2150834 – volume: 8 issue: 8 year: 2013 ident: 10.1016/j.padiff.2021.100084_b29 article-title: Numerical study of boundary layer flow and heat transfer of Oldroyd-B nanofluid towards a stretching sheet publication-title: PLoS One doi: 10.1371/journal.pone.0069811 – volume: 26 start-page: 542 issue: 2 year: 2015 ident: 10.1016/j.padiff.2021.100084_b16 article-title: Analytical modeling of entropy generation for Casson nano-fluid flow induced by a stretching surface publication-title: J Adv Powder Technol doi: 10.1016/j.apt.2015.01.003 – volume: 6 issue: 1 year: 2020 ident: 10.1016/j.padiff.2021.100084_b31 article-title: Effect of variable thermal conductivity and viscosity on Casson nanofluid flow with convective heating and velocity slip publication-title: Heliyon doi: 10.1016/j.heliyon.2019.e03076 – volume: 13 start-page: 845 issue: 6 year: 2012 ident: 10.1016/j.padiff.2021.100084_b2 article-title: A review on slip models for gas microflows publication-title: Microfluid Nanofluidics doi: 10.1007/s10404-012-1012-9 – volume: 19 start-page: 799 issue: 9 year: 2016 ident: 10.1016/j.padiff.2021.100084_b4 article-title: Entropy analysis of thermally radiating magnetohydrodynamic slip flow of casson fluid in a microchannel filled with saturated porous media publication-title: J Porous Media doi: 10.1615/JPorMedia.v19.i9.40 – volume: 13 start-page: 235 issue: 3 year: 2010 ident: 10.1016/j.padiff.2021.100084_b21 article-title: Steady MHD natural convection flow with variable electrical conductivity and heat generation along an isothermal vertical plate publication-title: J Appl Sci Eng – volume: 110 start-page: 123 issue: 1 year: 1995 ident: 10.1016/j.padiff.2021.100084_b22 article-title: The effect of temperature-dependent viscosity on free-forced convective laminar boundary layer flow past a vertical isothermal flat plate publication-title: J Acta Mech doi: 10.1007/BF01215420 – volume: 53 start-page: 2477 issue: 11–12 year: 2010 ident: 10.1016/j.padiff.2021.100084_b38 article-title: Boundary-layer flow of a nanofluid past a stretching sheet publication-title: Int J Heat doi: 10.1016/j.ijheatmasstransfer.2010.01.032 – ident: 10.1016/j.padiff.2021.100084_b14 doi: 10.4028/www.scientific.net/DDF.392.123 – year: 1959 ident: 10.1016/j.padiff.2021.100084_b27 article-title: A flow equation for pigment-oil suspensions of the printing ink type publication-title: Rheol Disperse Syst – volume: 18 start-page: 1315 issue: 4 year: 2014 ident: 10.1016/j.padiff.2021.100084_b11 article-title: Experimental study on turbulent convective heat transfer, pressure drop, and thermal performance characterization of ZnO/water nanofluid flow in a circular tube publication-title: Therm Sci doi: 10.2298/TSCI131114022S – start-page: 1 year: 2021 ident: 10.1016/j.padiff.2021.100084_b19 article-title: Microwave absorption performance of Ni 0.5 Zn 0.5 Fe 2 O 4 nanoclusters at 8.2–18 GHz frequency publication-title: Indian J Phys – volume: 55 start-page: 1295 issue: 2 year: 2016 ident: 10.1016/j.padiff.2021.100084_b37 article-title: Non-linear thermal convection in a casson fluid flow over a horizontal plate with convective boundary condition publication-title: Alexandria Eng J doi: 10.1016/j.aej.2016.04.020 – volume: 7 start-page: 204 year: 2017 ident: 10.1016/j.padiff.2021.100084_b24 article-title: Effects of temperature dependent conductivity and absorptive/generative heat transfer on MHD three dimensional flow of Williamson fluid due to bidirectional non-linear stretching surface publication-title: Results Phys doi: 10.1016/j.rinp.2016.11.063 – volume: 70 start-page: 049 issue: 1 year: 2018 ident: 10.1016/j.padiff.2021.100084_b30 article-title: Galerkin finite element study on the effects of variable thermal conductivity and variable mass diffusion conductance on heat and mass transfer publication-title: Commun Theor Phys doi: 10.1088/0253-6102/70/1/49 – year: 1995 ident: 10.1016/j.padiff.2021.100084_b8 – volume: 9 issue: 8 year: 2019 ident: 10.1016/j.padiff.2021.100084_b33 article-title: Nonlinear convection flow of Williamson nanofluid past a radially stretching surface publication-title: AIP Adv doi: 10.1063/1.5113688 – volume: 11 start-page: 1 issue: 1 year: 2021 ident: 10.1016/j.padiff.2021.100084_b26 article-title: Impact of Newtonian heating and Fourier and Fick’s laws on a magnetohydrodynamic dusty Casson nanofluid flow with variable heat source/sink over a stretching cylinder publication-title: Sci Rep doi: 10.1038/s41598-021-81747-x – volume: 30 start-page: 1649 issue: 5 year: 2009 ident: 10.1016/j.padiff.2021.100084_b32 article-title: Heat transfer in a micropolar fluid along a non-linear stretching sheet with a temperature-dependent viscosity and variable surface temperature publication-title: Int J Thermophys doi: 10.1007/s10765-009-0656-5 – volume: 24 year: 2021 ident: 10.1016/j.padiff.2021.100084_b7 article-title: Mixed convective nanofluid flow over a non linearly stretched Riga plate publication-title: Case Stud Therm Eng doi: 10.1016/j.csite.2020.100828 – volume: 55 start-page: 1025 issue: 2 year: 2016 ident: 10.1016/j.padiff.2021.100084_b15 article-title: Unsteady casson nanofluid flow over a stretching sheet with thermal radiation, convective and slip boundary conditions publication-title: Alexandria Eng J doi: 10.1016/j.aej.2016.03.003 – volume: 9 issue: 8 year: 2019 ident: 10.1016/j.padiff.2021.100084_b20 article-title: Nonlinear convection flow of Williamson nanofluid past a radially stretching surface publication-title: AIP Adv doi: 10.1063/1.5113688 – volume: 146 start-page: 146 year: 2019 ident: 10.1016/j.padiff.2021.100084_b13 article-title: The influence of magnetic field on heat transfer of magnetic nanofluid in a double pipe heat exchanger proposed in a small-scale CAES system publication-title: Appl Therm Eng doi: 10.1016/j.applthermaleng.2018.09.117 – volume: 14 start-page: 541 issue: 1 year: 2020 ident: 10.1016/j.padiff.2021.100084_b36 article-title: Heat transfer in an unsteady vertical porous channel with injection/suction in the presence of heat generation publication-title: J Taibah Univ Sci doi: 10.1080/16583655.2020.1748844 – volume: 158 start-page: 121 issue: 1 year: 2002 ident: 10.1016/j.padiff.2021.100084_b3 article-title: Slip flow past a stretching surface publication-title: Acta Mech doi: 10.1007/BF01463174 – volume: 93 issue: 25 year: 2008 ident: 10.1016/j.padiff.2021.100084_b5 article-title: A slip model for rarefied gas flows at arbitrary Knudsen number publication-title: Appl Phys Lett doi: 10.1063/1.3052923 – volume: 2020 year: 2020 ident: 10.1016/j.padiff.2021.100084_b12 article-title: Numerical solutions of micropolar nanofluid over an inclined surface using Keller box analysis publication-title: J Math doi: 10.1155/2020/6617652 – volume: 62 start-page: 1532 issue: 4 year: 2020 ident: 10.1016/j.padiff.2021.100084_b25 article-title: Natural convective non-Newtonian casson fluid flow in a porous medium with slip and temperature jump boundary conditions publication-title: Petrol Coal – volume: 50 start-page: 1326 issue: 7 year: 2011 ident: 10.1016/j.padiff.2021.100084_b39 article-title: Boundary layer flow of a nanofluid past a stretching sheet with a convective boundary condition publication-title: Int J Therm Sci doi: 10.1016/j.ijthermalsci.2011.02.019 – volume: 33 start-page: 76 issue: 1 year: 1990 ident: 10.1016/j.padiff.2021.100084_b6 article-title: Dynamic analysis of flying head sliders with ultra-thin spacing based on the Boltzmann equation: Comparison with two limiting approximations publication-title: JSME Int J III |
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| SubjectTerms | Casson nanofluid Thermal conductivity Thermal diffusivity Variable electrical conductivity (VEC) Viscosity |
| Title | The influence of variable electrical conductivity on non-Darcian Casson nanofluid flow with first and second-order slip conditions |
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