Dynamics of Arrhenius activation energy in flow of Carreau fluid subject to Brownian motion diffusion
Nanofluid comprising nanometer sized materials, called nanoparticles. These liquids are built colloidal suspensions of nanomaterials in a continuous phase liquid. The nanomaterials utilized in nanoliquids are typically made of carbon nanotubes, oxides and metals. In this research, communication, the...
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| Published in | Numerical methods for partial differential equations Vol. 39; no. 6; pp. 4468 - 4488 |
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| Abstract | Nanofluid comprising nanometer sized materials, called nanoparticles. These liquids are built colloidal suspensions of nanomaterials in a continuous phase liquid. The nanomaterials utilized in nanoliquids are typically made of carbon nanotubes, oxides and metals. In this research, communication, the impact of Brownian diffusion and thermophoresis is addressed in flow of non‐Newtonian fluid towards shrinking/stretching the surface. The energy equation is developed subjesct to dissipation, radiative flux (nonlinear) and Ohmic heating. The activation energy is further considered for chemical reaction. The nonlinear flow expressions are transformed into ordinary differential equations with the help of similarity transformations. The obtained systems of ordinary differential equation's are numerically solved through Shooting method (bvp4c). The concentration, temperature and velocity profiles are determined graphically. Mass transfer, surface drag force and heat transfer rate are shown by tables. At last, entropy and Bejan number are discussed through graphs in which entropy showed increasing behavior for magnetic, radiation, Brinkman and diffusivity parameter but Bejan number showed opposite behavior for them. |
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| AbstractList | Nanofluid comprising nanometer sized materials, called nanoparticles. These liquids are built colloidal suspensions of nanomaterials in a continuous phase liquid. The nanomaterials utilized in nanoliquids are typically made of carbon nanotubes, oxides and metals. In this research, communication, the impact of Brownian diffusion and thermophoresis is addressed in flow of non‐Newtonian fluid towards shrinking/stretching the surface. The energy equation is developed subjesct to dissipation, radiative flux (nonlinear) and Ohmic heating. The activation energy is further considered for chemical reaction. The nonlinear flow expressions are transformed into ordinary differential equations with the help of similarity transformations. The obtained systems of ordinary differential equation's are numerically solved through Shooting method (bvp4c). The concentration, temperature and velocity profiles are determined graphically. Mass transfer, surface drag force and heat transfer rate are shown by tables. At last, entropy and Bejan number are discussed through graphs in which entropy showed increasing behavior for magnetic, radiation, Brinkman and diffusivity parameter but Bejan number showed opposite behavior for them. |
| Author | Nigar, Mehr Kadry, Seifedine Chu, Yu‐Ming Qayyum, Sumaira Ijaz Khan, Muhammad |
| Author_xml | – sequence: 1 givenname: Muhammad orcidid: 0000-0002-9041-3292 surname: Ijaz Khan fullname: Ijaz Khan, Muhammad organization: Department of Mathematics and Statistics Riphah International University Islamabad Pakistan – sequence: 2 givenname: Sumaira orcidid: 0000-0002-7655-5606 surname: Qayyum fullname: Qayyum, Sumaira organization: Department of Mathematics Quaid‐I‐Azam University Islamabad Pakistan – sequence: 3 givenname: Mehr surname: Nigar fullname: Nigar, Mehr organization: Department of Mathematics Quaid‐I‐Azam University Islamabad Pakistan – sequence: 4 givenname: Yu‐Ming surname: Chu fullname: Chu, Yu‐Ming organization: Department of Mathematics Huzhou University Huzhou PR China, Hunan Provincial Key Laboratory of Mathematical Modeling and Analysis in Engineering Changsha University of Science and Technology Changsha PR China – sequence: 5 givenname: Seifedine surname: Kadry fullname: Kadry, Seifedine organization: Department of Mathematics and Computer Science Beirut Arab University Beirut Lebanon |
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| SubjectTerms | Activation energy Brownian motion Carbon nanotubes Chemical reactions Colloids Differential equations Drag Entropy Mass transfer Nanofluids Nanomaterials Nanoparticles Newtonian fluids Ordinary differential equations Thermophoresis Velocity distribution |
| Title | Dynamics of Arrhenius activation energy in flow of Carreau fluid subject to Brownian motion diffusion |
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