Effect of nonlinear thermal radiation on second order slip flow and heat transfer of Jeffrey nanofluid over a stretching sheet with non-uniform heat source/sink

P. Ashok 1, Ch. Vittal 2, Vijayalaxmi Tankasala 3, *, M. Chennakrishna Reddy 1 and S.Renuka 4

1 Department of Mathematics, University College of Science, Osmania University, Hyderabad-500007, India.
2 Department of Mathematics, University College of Science, Saifabad, Osmania University, Hyderabad-500007, India.
3 Department of Mathematics, NTR GDC (W), Mahabubnagar-509001, Telangana, India.
4 Department of Mathematics, Nizam College, Osmania University, Hyderabad-500007, India. 
 
Research Article
International Journal of Science and Research Archive, 2023, 09(01), 608–626.
Article DOI: 10.30574/ijsra.2023.9.1.0490
Publication history: 
Received on 13 May 2023; revised on 21 June 2023; accepted on 23 June 2023
 
Abstract: 
The flow and heat transfer of Jeffrey nanofluid over a stretching sheet with non-uniform heat source/sink is considered in the present analysis. Effects of nonlinear thermal radiation and second order slip are taken along with uniform magnetic field. System of partial differential equations governing the described problem is reduced to nonlinear ordinary differential equations with aid of similarity transformations. Further, reduced equations are solved numerically using Runge-Kutta-Fehlberg 45 order method with shooting technique. Effects all flow pertinent parameters are recorded in terms of tables and graphs. The results are studied with help of plotted graphs, tables. Results are compared with existing one for some limiting cases and are found to be excellent agreement. It is found that both first, second order velocity slip parameters reduces the thickness of momentum boundary layer and hence decrease the velocity as a result of this one can find the increase in thermal boundary layer.
 
Keywords: 
Nonlinear thermal radiation; Second order slip flow; Jeffrey nanofluid; Stretching sheet; Non-uniform heat source/sink; Numerical solution. 
 
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