Physical Aspects of MHD Nonlinear Radiative Heat Flux in Flow of Thixotropic Nanomaterial

Tasawar Hayat1,2, Madiha Rashid1, M. Ijaz Khan1, Ahmed Alsaedi3
1Department of Mathematics, Quaid-i-Azam University 45320, Islamabad, Pakistan
2Nonlinear Analysis and Applied Mathematics (NAAM)-Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia
3Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia

Tóm tắt

Here magnetohydrodynamic nanomaterial flow of thixotropic fluid is addressed. Electrically conducting fluid is considered. Stagnation-point flow toward variable thicked surface is addressed. Soret and Dufour effects are retained. Formulation is based on Brownian and thermophoresis diffusions. In addition, nonlinear thermal heat flux and convective boundary conditions are also taken into account. The formulated expressions are converted into ordinary ones by appropriate transformations. The resulting system is solved computationally through homotopy algorithm. Convergence of derived solutions is ensured explicitly. Behavior of various thermophysical parameters on temperature, nanoparticle concentration and velocity is graphically analyzed. Heat transfer rate, Sherwood number and skin friction coefficient are discussed through different flow variables. A comparative analysis between the present investigation and published literature has been presented in limiting cases. The obtained outcomes show that velocity of liquid particles decays via magnetic variable, while opposite behavior is examined for higher non-Newtonian parameter. Furthermore, nanoparticle concentration and temperature are enhanced for radiation and thermophoresis variables.

Tài liệu tham khảo

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