Numerical modeling and spatial stability analysis of the wall jet flow of nanofluids with thermophoresis and brownian effects
The present work describes similarity solution to a general scheme for the wall jet flow of nanofluids, accounting both the similarity branches (say upper and lower), allowed with respect to the suction and moving wall conditions in the context of Glauert type e-jets. Before proceeding with this, a...
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| Published in | Propulsion and Power Research Vol. 8; no. 3; pp. 210 - 220 |
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| Main Authors | , |
| Format | Journal Article |
| Language | English |
| Published |
Elsevier B.V
01.09.2019
KeAi Communications Co., Ltd |
| Subjects | |
| Online Access | Get full text |
| ISSN | 2212-540X 2212-540X |
| DOI | 10.1016/j.jppr.2019.06.002 |
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| Abstract | The present work describes similarity solution to a general scheme for the wall jet flow of nanofluids, accounting both the similarity branches (say upper and lower), allowed with respect to the suction and moving wall conditions in the context of Glauert type e-jets. Before proceeding with this, a spatial stability analysis is performed to check the stability of the similarity modes. Results indicated that the upper similarity branch is possibly stable; whilst, the lower branch is not likely to reside in actual physics. The governing transport equations of mass and energy subject to a general two-phase modeling framework were transformed into similarity equations. The involved equations were then solved numerically employing the standard 4th order Runge-Kutta together with shooting technique. The influence of the involved parameters is shown graphically and in a detailed manner. In the last section, it is presented closed-form algebraic solution to the energy equation for the base fluids with a general convective boundary condition. |
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| AbstractList | The present work describes similarity solution to a general scheme for the wall jet flow of nanofluids, accounting both the similarity branches (say upper and lower), allowed with respect to the suction and moving wall conditions in the context of Glauert type e-jets. Before proceeding with this, a spatial stability analysis is performed to check the stability of the similarity modes. Results indicated that the upper similarity branch is possibly stable; whilst, the lower branch is not likely to reside in actual physics. The governing transport equations of mass and energy subject to a general two-phase modeling framework were transformed into similarity equations. The involved equations were then solved numerically employing the standard 4th order Runge-Kutta together with shooting technique. The influence of the involved parameters is shown graphically and in a detailed manner. In the last section, it is presented closed-form algebraic solution to the energy equation for the base fluids with a general convective boundary condition. The present work describes similarity solution to a general scheme for the wall jet flow of nanofluids, accounting both the similarity branches (say upper and lower), allowed with respect to the suction and moving wall conditions in the context of Glauert type e-jets. Before proceeding with this, a spatial stability analysis is performed to check the stability of the similarity modes. Results indicated that the upper similarity branch is possibly stable; whilst, the lower branch is not likely to reside in actual physics. The governing transport equations of mass and energy subject to a general two-phase modeling framework were transformed into similarity equations. The involved equations were then solved numerically employing the standard 4th order Runge-Kutta together with shooting technique. The influence of the involved parameters is shown graphically and in a detailed manner. In the last section, it is presented closed-form algebraic solution to the energy equation for the base fluids with a general convective boundary condition. Keywords: Wall jet flow of nanofluids, Two-phase modeling, Spatial stability analysis, Similarity solution, Numerical modeling |
| Author | Shafizadeh, Fatemeh Jafarimoghaddam, Amin |
| Author_xml | – sequence: 1 givenname: Amin surname: Jafarimoghaddam fullname: Jafarimoghaddam, Amin email: a.jafarimoghaddam@gmail.com organization: Independent Researcher, Tehran, Iran1 – sequence: 2 givenname: Fatemeh surname: Shafizadeh fullname: Shafizadeh, Fatemeh organization: Department of Chemical Engineering, Babol Noshirvani University of Technology, Babol, Iran |
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| Cites_doi | 10.1007/BF00127689 10.1016/j.euromechflu.2003.10.003 10.1016/j.euromechflu.2018.04.002 10.1115/1.2150834 10.1017/S0022112068001291 10.1108/EC-03-2016-0087 10.1016/j.tsep.2017.09.006 10.1063/1.858304 10.1098/rspa.1967.0151 10.1016/j.tsep.2018.09.008 10.1007/BF00039320 10.1017/S002211205600041X 10.1016/j.euromechflu.2018.12.007 10.1016/j.euromechflu.2007.07.002 10.1016/j.aej.2016.12.019 10.1016/j.euromechflu.2016.04.007 10.1016/j.applthermaleng.2016.03.086 |
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| Keywords | Wall jet flow of nanofluids Spatial stability analysis Numerical modeling Two-phase modeling Similarity solution |
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| References | Needham, Merkin (bib2) 1987; 21 Jafarimoghaddam (bib16) 2019; 75 Zaidi, Mohyud-Din (bib12) 2016 Glauert (bib3) 1956; 1 Merkin, Needham (bib1) 1986; 20 Jafarimoghaddam (bib18) 2017 Sherin (bib20) 1967; 299 Mohyud-Din, Zaidi (bib11) 2016 Sandeep, Animasaun (bib8) 2017 Jafarimoghaddam, Pop (bib17) 2018 Magyari, Keller (bib4) 2004; 23 Chen, Libby (bib21) 1968; 33 Cohen, Amitay, Bayly (bib5) 1992; 4 Raees, Xu, Raees-ul-Haq (bib7) 2014; 163 Zaidi, Mohyud-Din, Bin-Mohse (bib10) 2017; 34 Jafarimoghaddam (bib14) 2018 Buongiorno (bib19) 2006 Xu, Liao, Wu (bib6) 2008; 27 Durlofsky, Brady (bib22) 1998 Turkyilmazoglu (bib13) 2016 Zaidi, Mohyud-Din (bib9) 2015 Jafarimoghaddam (bib15) 2018 Sandeep (10.1016/j.jppr.2019.06.002_bib8) 2017 Mohyud-Din (10.1016/j.jppr.2019.06.002_bib11) 2016 Xu (10.1016/j.jppr.2019.06.002_bib6) 2008; 27 Jafarimoghaddam (10.1016/j.jppr.2019.06.002_bib18) 2017 Chen (10.1016/j.jppr.2019.06.002_bib21) 1968; 33 Durlofsky (10.1016/j.jppr.2019.06.002_bib22) 1998 Turkyilmazoglu (10.1016/j.jppr.2019.06.002_bib13) 2016 Buongiorno (10.1016/j.jppr.2019.06.002_bib19) 2006 Merkin (10.1016/j.jppr.2019.06.002_bib1) 1986; 20 Needham (10.1016/j.jppr.2019.06.002_bib2) 1987; 21 Jafarimoghaddam (10.1016/j.jppr.2019.06.002_bib14) 2018 Glauert (10.1016/j.jppr.2019.06.002_bib3) 1956; 1 Zaidi (10.1016/j.jppr.2019.06.002_bib9) 2015 Cohen (10.1016/j.jppr.2019.06.002_bib5) 1992; 4 Raees (10.1016/j.jppr.2019.06.002_bib7) 2014; 163 Jafarimoghaddam (10.1016/j.jppr.2019.06.002_bib15) 2018 Sherin (10.1016/j.jppr.2019.06.002_bib20) 1967; 299 Zaidi (10.1016/j.jppr.2019.06.002_bib10) 2017; 34 Zaidi (10.1016/j.jppr.2019.06.002_bib12) 2016 Magyari (10.1016/j.jppr.2019.06.002_bib4) 2004; 23 Jafarimoghaddam (10.1016/j.jppr.2019.06.002_bib16) 2019; 75 Jafarimoghaddam (10.1016/j.jppr.2019.06.002_bib17) 2018 |
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| Title | Numerical modeling and spatial stability analysis of the wall jet flow of nanofluids with thermophoresis and brownian effects |
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