scholarly journals Analytical Solution of Nonlinear MHD Flow Past A Porous Sheet with Prescribed Heat Flux, Viscous Dissipation, Heat Generation and Radiation Effects

2015 ◽  
Vol 8 (5) ◽  
pp. 489
Author(s):  
M. Kayalvizhi ◽  
S. P. Anjali Devi
Keyword(s):  
Heat Flux ◽  
Analytical Solution ◽  
Viscous Dissipation ◽  
Heat Generation ◽  
Radiation Effects ◽  
Mhd Flow ◽  
Porous Sheet ◽  
Flow Past

Combined effect of viscous dissipation and Joule heating on MHD flow past a Riga plate with Cattaneo–Christov heat flux

2019 ◽  
Vol 94 (9) ◽  
pp. 1385-1394 ◽  
Author(s):  
M. D. Shamshuddin ◽  
P. V. Satya Narayana
Keyword(s):  
Heat Flux ◽  
Viscous Dissipation ◽  
Joule Heating ◽  
Mhd Flow ◽  
Combined Effect ◽  
Flow Past ◽  
Riga Plate

Nonhomogeneous Dual-Phase-Lag Heat Conduction Problem: Analytical Solution and Select Case Studies

2017 ◽  
Vol 140 (3) ◽  
Author(s):  
Simon Julius ◽  
Boris Leizeronok ◽  
Beni Cukurel
Keyword(s):  
Heat Flux ◽  
Heat Conduction ◽  
Analytical Solution ◽  
Heat Generation ◽  
Integral Transform ◽  
Heat Conduction Problem ◽  
Relaxation Times ◽  
Hyperbolic Heat Conduction ◽  
Phase Lag ◽  
Dual Phase

Finite integral transform techniques are applied to solve the one-dimensional (1D) dual-phase heat conduction problem, and a comprehensive analysis is provided for general time-dependent heat generation and arbitrary combinations of various boundary conditions (Dirichlet, Neumann, and Robin). Through the dependence on the relative differences in heat flux and temperature relaxation times, this analytical solution effectively models both parabolic and hyperbolic heat conduction. In order to demonstrate several exemplary physical phenomena, four distinct cases that illustrate the wavelike heat conduction behavior are presented. In the first model, following an initial temperature spike in a slab, the thermal evolution portrays immediate dissipation in parabolic systems, whereas the dual-phase solution depicts wavelike temperature propagation—the intensity of which depends on the relaxation times. Next, the analysis of periodic surface heat flux at the slab boundaries provides evidence of interference patterns formed by temperature waves. In following, the study of Joule heating driven periodic generation inside the slab demonstrates that the steady-periodic parabolic temperature response depends on the ratio of pulsatile electrical excitation and the electrical resistivity of the slab. As for the dual-phase model, thermal resonance conditions are observed at distinct excitation frequencies. Building on findings of the other models, the case of moving constant-amplitude heat generation is considered, and the occurrences of thermal shock and thermal expansion waves are demonstrated at particular conditions.

MHD Flow Past an Infinite Inclined Moving Plate With Radiation Effects

2020 ◽  
Vol 12 (3) ◽  
pp. 560-570
Author(s):  
Ch. Ramana Murthy V
Keyword(s):  
Radiation Effects ◽  
Mhd Flow ◽  
Moving Plate ◽  
Flow Past
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