Heat transfer characteristics on MHD Powell-Eyring fluid flow across a shrinking wedge with non-uniform heat source/sink

Abstract

This report presents the flow and heat transfer characteristics on magnetohydrodynamic non-Newtonian fluid across a wedge near the stagnation point. The fluid flow is time independent and laminar. The radiation and irregular heat sink/source effects are deemed. The system of nonlinear ODEs is attained from PDEs by choosing the proper similarity transformations. Further, the well-known shooting and Runge-Kutta methods are utilized to acquire the problem’s solution subject to assumed boundary conditions. Figures are outlined to emphasize the impact of several parameters on the fields of velocity and temperature. Further, the rate of heat transfer and friction factor are also anticipated and portrayed with the assistance of table. Results indicate that the curves of velocity diminish with shrinking parameter, magnetic field parameter and material fluid parameter. Also the non-uniform heat source/sink parameters play a crucial role in the heat transfer performance.

Advanced Computational Framework to Analyze the Stability of Non-Newtonian Fluid Flow through a Wedge with Non-Linear Thermal Radiation and Chemical Reactions

“…If Ψ = π/2, then the magnetic field is applied perpendicular. The governing equations of the flow under consideration are as follows [39][40][41][42][43][44]:…”

“…∂T ∂y . We suppose the nonlinear radiation effect; therefore the temperature should be T = T ∞ (1 + (θ w − 1))θ, where θ w = T w T ∞ [40][41][42][43][44]. The chemical reaction equation has been introduced to enhance the novelty of the present work, whereas D B is molecular diffusivity of the species concentration and k 1 is a chemical reaction parameter [39].…”

“…If 𝛹 = 𝜋/2, then the magnetic field is applied perpendicular. The governing equations of the flow under consideration are as follows [39][40][41][42][43][44]: The partial differential equations (PDEs) ( 1)-( 4) of the considered flow problem over a porous shrinking wedge are transformed into ordinary differential equations (ODEs) with similarity variables defined as below [39,40]:…”

“…2 represents the Eyring-Powell fluid constant [39,40]. M = 2σB 2 0 ρU ∞ (m+1) is the magnetic field constant [41], λ = U w U ∞ is the shrinking and stretching parameter, Rd = 4σ * 3kk * T 3 ∞ is the thermal radiation parameter, Sc = ν D m is the Schmidt number, and K c = k 1 ν is the chemical reaction parameter [39,45]. If K c > 0, this shows a constructive/generative reaction, and K c < 0 is a destructive chemical reaction.…”

Computational analysis of bio-convective eyring-powell nanofluid flow with magneto-hydrodynamic effects over an isothermal cone surface with convective boundary condition

“…Sambath et al [ 26 ] elucidated the utilization of thermal radiation in free convection flow over vertical cones and observed an increase in heat dissipation due to thermal radiation effects. Numerical studies were conducted by Asha Shivappa Kotnurkar and Sunitha Giddaiah [ 27 ], Anantha Kumar et al [ 28 ], and Subharthi Sarkar and Mehari Fentahun Endalew [ 29 ] to investigate the flow of non-Newtonian fluids under natural convection, considering the influence of magnetohydrodynamics (MHD), radiant heat, and chemical processes. Various researchers [ [30] , [31] , [32] , [33] ] investigated the impact of microorganisms in natural convection flow problems under different boundary conditions.…”