Study of Heat Transfer under the Impact of Thermal Radiation, Ramped Velocity, and Ramped Temperature on the MHD Oldroyd-B Fluid Subject to Noninteger Differentiable Operators

Abstract

This theoretical study explores the impact of heat generation/absorption with ramp wall velocity and ramp wall temperature on the magnetohydrodynamic (MHD) time-dependent Oldroyd-B fluid over an unbounded plate embedded in a porous surface. The mathematical analysis of fractional governing partial differential equations has been established using systematic and powerful techniques of Laplace transform with its numerical inversion algorithms. The fractionalized solutions have been traced out separately through all fractional differential operators. Nondimensional parameters along with Laplace transformation are used to find the solution of temperature and velocity profiles. Fractional time derivatives are used to analyze the impact of fractional parameters (memory effect) on the dynamics of the fluid. While making a comparison, it is observed that the fractional-order model is the best to explain the memory effect as compared to classical models. The obtained solutions are plotted graphically for different values of physical parameters. Our results suggest that the velocity profile decreases by increasing the effective Prandtl number. Furthermore, the existence of an effective Prandtl number may reflect the control of the thickness of momentum and enlargement of thermal conductivity.

A Reliable Numerical Analysis of Transmission Dynamics of Chicken Pox (Varicella Zoster Virus)

“…Moreover, this work overcomes the discrepancies caused by existing techniques and remains consistent with the biological nature of a continuous dynamical system. The works presented in [13][14][15] have also been examined to validate and authenticate the results proposed in this work.…”

Thermo-convective Arrhenius reactive fluid flow between two parallel plates

“…Some recent work on thermo-convective and magnetic have been included in the present article, in which Chilton-Colburn study about thermo convective fluid property in mini channel. 41 Variables temperature and mass diffusion with arbitrary velocity for viscoelastic fluid flow has been recently studied by Saeed et al 42 Ionic liquid across micro channels of the peristaltic principle of electro osmotic flow (EOF) has been study by Humaira and Yasmin. 43 For further validation of (PCM) method, the obtained results are also compared with previous published work and found an accuracy upto two decimal places.…”

Exact Symmetric Solutions of MHD Casson Fluid Using Chemically Reactive Flow with Generalized Boundary Conditions

“…They used the homotopy analysis method to calculate the governing equation and Mathematica software (Wolfram Mathematica, New Jersey, NJ, United State) to provide a graphical illustration of the velocity gradient, temperature, and concentration gradient of the Casson model. Although research on the Casson model is ongoing, we include some related studies based on heat transfer [25][26][27][28][29], fractional models of fluids with magnetic field [30][31][32][33][34][35][36][37][38][39][40], and some others [41][42][43][44][45][46][47][48][49][50][51][52][53][54] herein. Motivated by the above discussion, we analyzed an analytic solution of incompressible and magnetic Casson fluid subjected to temperature and concentration dependence within a porous-surfaced plate.…”