In this work, the influence of entropy generation analysis for an electrically conducting Casson fluid flow with convective boundary conditions has been numerically studied. The governing equations are analyzed numerically using weighted residual methods. Subsequently, the residuals were minimized using two different approaches of weighted residual method namely collocation weighted residual method (CWRM) and Galerkin weighted residual method (GWRM) and computed numerically using MATHEMATICAL software. The impacts of governing parameters on Casson flow velocity, temperature profile, local skin friction, and Nusselt number were analysed. The obtained solutions were used to determine the heat transfer irreversibility and bejan number of the model. The results of the computation show that the effect of thermophysical properties such as thermal radiation parameter, suction/injection parameter, magnetic field parameter, radiation parameter, and Eckert number has a significant influence on Skin friction coefficient (Cf) and local Nusselt number (Nu) when compared to the Newtonian fluid. The findings from this study are relevant to advances in viscoelasticity and enhanced oil recovery.
Abolbashari M, Freidoonimehr N, Nazari F, Rashidi M. Analytical modeling of entropy generation for Casson nano-fluid flow induced by a stretching surface. Advanced Powder Technology. 2015;542–52.
2.
Adesanya S, Falade J, Jangili S. Irreversibility analysis for reactive third-grade fluid flow and heat transfer with convective wall cooling. Alexandria Engineering Journal. 2017;153–60.
3.
Ajala O, Obalalu A M, Abimbade S, Akinyemi OT. Numerical Study of Forced Convective Heat Generation Flow through a Permeable Walls with Suction/Injection. International Journal of Scientific and Research Publications (IJSRP). 2019;336–48.
4.
Akhter R, Mohammad MA, Babul H, Musa M. Mhd free convection boundary layer flow over an inclined heated flat plate with thermal radiation. American Journal of Fluid Dynamics. 2017;583–95.
5.
Ananthaswamy V. Mathematical expressions of entropy generation in a variable Viscosity MHD channel flow, mathematical expressions of entropy generation. 2016;
6.
Aziz A, Makinde O. Analysis of entropy generation and thermal stability in slab. Journal of thermophysics and heat transfer. 2010;438–44.
7.
Bejan A. Second-law analysis in heat transfer and thermal design. Advances in heat transfer. 1982;1–58.
8.
Boyd J, Buick M, Green S. Analysis of the Casson and Carreau-Yasuda non-Newtonian blood models in steady and oscillatory flows using the lattice Boltzmann method. Physics of Fluids. 2007;93103.
9.
Casson N. A flow equation for pigment-oil suspensions of the printing ink type, Rheology of disperse systems. 1959;
10.
Egunjobi A, Makinde O. Entropy generation analysis in a variable viscosity MHD channel flow in with permeable walls and convective heating. Mathematical Problems in Engineering. 2013;583–95.
11.
El-Aziz MA, Afify A. MHD Casson fluid flow over a stretching sheet with entropy generation analysis and Hall influence. Entropy. 2019;592.
12.
Gbadeyan J, Titiloye E, Adeosun A. Effect of variable thermal conductivity and viscosity on Casson nanofluid flow with convective heating and velocity slip. Heliyon. 2020;37–076.
13.
Gireesha B, Srinivasa N, Shashikumar M, Macha J, Mahanthesh B. Entropy generation and heat transport analysis of Casson fluid flow with viscous and Joule heating in inclined porous microchannel. Proceedings of the Institution of Mechanical Engineers, Part E: Journal of Process Mechanical Engineering. 2019;1173–84.
14.
Kataria H, Patel. Radiation and chemical reaction effects on MHD Casson fluid flow past an oscillating vertical plate embedded in porous medium. Alexandria Engineering Journal. 2016;(1):583–95.
15.
Mansour M, El-Shaer N, Mondal S, Sibanda H, P. The effects of thermal radiation on an unsteady MHD axisymmetric stagnation-point flow over a shrinking sheet in presence of temperature dependent thermal conductivity with Navier slip. Journal of Magnetism Magnetic Materials. 2001;553–685.
16.
Mukhopadhyay S, Vajravelu K, Van Gorder A. Casson fluid flow and heat transfer at an exponentially stretching permeable surface. Journal of Applied Mechanics and Technical Physics. 2013;344–786.
17.
Obalalu M, Wahaab F, Adebayo L. Heat transfer in an unsteady vertical porous channel with injection/suction in the presence of heat generation. Journal of Taibah University for Science. 2020;541–8.
18.
Oderinu R, Aregbesola Y. A Weighted Residual Method in a Semi-Infinite Domain Using Un-Partitioned Methods. International Journal of Applied Mathematics. 2012;25–31.
19.
Oyelakan I, Mondal S, Sibanda P. Unsteady Casson nanofluid flow over a stretching sheet with thermal radiation, convective and slip boundary conditions. Alexandria engineering journal. 2016;1025–35.
20.
Pop I, Sheremet N. Free convection in a square cavity filled with a Casson fluid under the effects of thermal radiation and viscous dissipation. International Journal of Numerical Methods for Heat Fluid Flow. 2017;25–34.
21.
Razaq A, Aregbesola Y. Weighted residual method in a semi-infinite domain using unpartitioned method. Int J Appl Math. 2013;25–34.
22.
Shaw S, Mahanta G, Sibanda P. Non-linear thermal convection in a Casson fluid flow over a horizontal plate with convective boundary condition. Alexandria Engineering Journal. 2016;1295–304.
23.
Turkyilmazoglu M. Thermal radiation effects on the time-dependent MHD permeable flow having variable viscosity. International Journal of Thermal Sciences. 2011;88–96.
24.
Saleem M, Hossain M, Saha S, Gu Y. Heat transfer analysis of viscous incompressible fluid by combined natural convection and radiation in an open cavity. 2014;
25.
Vyas P, Soni S. Entropy analysis for MHD Casson fluid flow in a channel subjected to weakly temperature dependent convection coefficient and hydrodynamic slip. Rajasthan Academy of Physical Sciences. 2016;1–18.
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