Radiative heat transfer enhancement in MHD porous channel flow of an Oldroyd-B fluid under generalized boundary conditions

Abstract

This study explains the transient free convection phenomenon in a vertical porous channel subject to nonlinear thermal radiation. The infinite vertical channel encloses magnetohydrodynamic (MHD) flow of an Oldroyd-B fluid. The left channel wall possesses time-dependent velocity u 0 g ( t ˜ ) , while the right wall exhibits no motion. The momentum and temperature field equations are developed on the bases of momentum conservation law and Fourier’s principle of heat transfer. Laplace transformation technique and Durbin’s numerical inversion method are jointly incorporated to compute the solutions of the formulated problem. The influences of flow and material parameters on heat transfer and fluid velocity are graphically scrutinized with physical aspects. The numerical computations for skin friction and temperature gradient are tabularized to comprehensively examine the wall shear stress and heat transfer rate. Finally, velocity fields for Maxwell fluid, second grade fluid, and viscous fluid are traced out as limiting cases and their comparison is drawn with the velocity field of an Oldroyd-B fluid. Besides this, some newly published results are also deduced from the acquired solutions. It is observed that increasing the magnitude of radiation parameter Rd rapidly enhances the rate of heat transfer at the right channel wall while an inverse behavior of Nusselt number is witnessed at the left channel wall. The Maxwell fluid and second grade fluid indicate the swiftest and slowest channel flow rates respectively. The shear stress specifies dual nature for relaxation and retardation parameters subject to static and moving wall. Additionally, it is found that the flow of an Oldroyd-B fluid is retarded by a magnetic field.

Comparative Numerical Study of Thermal Features Analysis between Oldroyd-B Copper and Molybdenum Disulfide Nanoparticles in Engine-Oil-Based Nanofluids Flow

“…The OBF contains viscoelastic applications for Maxwell and viscous fluids for example. Based on such remarkable properties, the flow of OBF was thoroughly investigated in the literature [11][12][13][14][15][16][17][18]. Moreover, researchers have explained the effect of slip boundary conditions in nanofluids past the extending slip [19,20].…”

On the Analysis of the Non-Newtonian Fluid Flow Past a Stretching/Shrinking Permeable Surface with Heat and Mass Transfer

“…Gnaneswara Reddy [26] investigated the various impacts arose due to Joule-heating, thermo-phoresis and viscous nature of a magnetized fluid flowing over an isothermal, perforated and inclined surface. A more recent and detailed investigation of the MHD flow can be found in references [27][28][29][30]. Yulin et al [31] numerically studied the natural convection flow of nanofluid over inclined enclosure.…”

Analytical Investigation of Magnetohydrodynamic Non‐Newtonian Type Casson Nanofluid Flow past a Porous Channel with Periodic Body Acceleration

“…e important visualization about the influence of magnetic field and radiation with assorted flow geometries is established in the literature [17][18][19][20][21][22][23][24][25][26][27][28].…”