ENHANCEMENT OF HEAT TRANSFER WITH VISCOUS DISSIPATION IMPACT ON FLUID FLOW PAST A MOVING WEDGE IN A PERMEABLE DOMAIN
Abstract
The problem of modelling and analysis of fluid flow in the presence of viscous dissipation over a wedge in motion is analytically and numerically addressed. As a result of the much-valued significance of this study in the aspects of technological and industrial revolution regarding aerospace, oil recovery systems, defence machineries, extrusion, moulding and polymerisation of sheets, building of war arsenal, glass whirling. However, the frontiers of several physical problems are modelled by both partial and ordinary differential equations (PDEs and ODEs). Therefore, the mathematical modelling of our present problem is not an exemption. Hence, the PDEs which models our problem under consideration becomes changed into coupled ODEs in nonlinear arrangement through the deployment of adequate and standard conversion procedure by using dimensionless variables. In line with the approach of the solution methodology, the boundary conditions governing the flow models are also transmuted. Afterwards, the well-established regular perturbation skill aided in the resolution of the problem. The solutions realised are simulated through the adoption of a software package in the Mathematica V.10 scheme for the numerical solutions. Hence, our results are embodied in form of graphs with legends. It is worthy to note that the effect of increasing rate of flow remains a function of rising values of the porosity and Grashof thermal parameters whereas the opposite behaviour of the flow field is a consequence of improving values of suction parameter. Also, the enhancement of the suction parameter and Eckert number values breeds intensification in the temperature. The Nusselt number intensifies with the rising values of the Prandtl parameter but regresses on the account of radiation factor development.
Keywords
Heat transference, Porous medium, Perturbation, Simulation, Suction
References
- [1] Falkner VM, Skan SW. Solutions of the boundary layer equations. Philosophical Magazine 1931; 7: 865-896.
- [2] Fang T, Yao S, Zhang J, Zhang Y, Tao H. Momentum and heat transfer of the Falkner-Skan flow with algebraic decay: an analytical solution. Commun. Nonlinear Sci. Numer Simul 2012; 17(6): 2476-2488.
- [3] Ashraf M, Narahari M, Muthuvalu MS. Mixed convection flow over a stretching porous wedge with Newtonian heating in the presence of heat generation or absorption. In: AIP Conference Proceedings 2016; 1787, 020004, AIP, New York.
- [4] Ahmad K, Hanouf Z, Ishak A. MHD Casson nanofluid flow over a wedge with Newtonian heating. Eur. Phys. J. Plus 2017; 132(2): 87.
- [5] Hossain M, A Roy NC, Siddiqa S. Unsteady mixed convection dusty fluid flow over a vertical wedge with small fluctuation in free stream and surface temperature. Appl. Math. Comput 2017; 293: 480-492.
- [6] Shit GC, Majee S. Hydromagnetic flow past an inclined nonlinear spreading material with fickle viscosity in the presence of thermal radiation and chemical reaction. Journal of Applied Fluid Mechanics 2014; 7(2): 239-247.
- [7] Rahman MM, Al-Lawatia MA, Eltayeb AI, Al-Salti N. Hydromagnetic slip flow of water based nanofluids past a wedge with convective surface in the presence of heat generation/absorption. International Journal of Thermal Sciences 2012; 57: 172-182.
- [8] Sulochana G, Ashwinkumar GP, Sandeep N. Effect of frictional heating on mixed convection flow of chemically reacting radiative Casson nanofluid past an inclined porous plate. Alex. Eng J 2018; 57(4): 2573-2584. https://doi.org/10.1016/j.aej.
- [9] Ashwini G, Eswara AT. MHD Falkner-Skan boundary layer flow with internal heat generation or absorption . World Academy of Science, Engineering and Technology 2012; 65: 662-665.
- [10] Khan WA, Pop I. Boundary layer flow over a wedge passing in a nanofluid. Mathematical Problems in Engineering 2013; 637-285.