Chemical reaction, thermal relaxation time and internal material parameter effects on MHD viscoelastic fluid with internal structure using the Cattaneo-Christov heat flux equation

Thermal transport in 3D flow of Burgers nanofluid due to bidirectional stretching is an interesting topic with large number of applications. Motivated by this fact we formulated mathematical modelling for the 3D flow of viscoelastic Burgers nanofluid accelerated by bidirectional stretching surface. We studied the fluid relaxation and retardation time effects on the momentum and thermal transport of Burgers fluid. Moreover, we considered the effects of heat rise/fall and Ohmic heating to analyze the heat transport features in the flow of viscoelastic nanofluid. A momentous feature of this study is to incorporate the thermal relaxation time phenomenon to observe the properties of heat flow in nanofluid. Additionally, the mass transport phenomenon is explored by employing modified mass flux model and chemical reaction effects. Results are attained by employing homotopy analysis method (HAM) and illustrated through graphical representation. The main finding of the study exposes that the thermal transport in the flow is accelerated due to building strength of Eckert number [Formula: see text]. Moreover, the depreciating trend of concentration profiles is being detected for building strength of constructive chemical reaction parameter [Formula: see text]. Also, it is seen that the escalating magnitude of thermal relaxation time parameter [Formula: see text] serves to decline the heat flow rate.

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Influence of Cattaneo–Christov Heat Flux on MHD Jeffrey, Maxwell, and Oldroyd-B Nanofluids with Homogeneous-Heterogeneous Reaction

Symmetry ◽

10.3390/sym11030439 ◽

2019 ◽

Vol 11 (3) ◽

pp. 439 ◽

Cited By ~ 18

Author(s):

Anwar Saeed ◽

Saeed Islam ◽

Abdullah Dawar ◽

Zahir Shah ◽

Poom Kumam ◽

...

Keyword(s):

Magnetic Field ◽

Heat Flux ◽

Relaxation Time ◽

Prandtl Number ◽

Schmidt Number ◽

Concentration Field ◽

Thermal Relaxation ◽

Heterogeneous Reactions ◽

Thermal Relaxation Time ◽

The Impact

This research article deals with the determination of magnetohydrodynamic steady flow of three combile nanofluids (Jefferey, Maxwell, and Oldroyd-B) over a stretched surface. The surface is considered to be linear. The Cattaneo–Christov heat flux model was considered necessary to study the relaxation properties of the fluid flow. The influence of homogeneous-heterogeneous reactions (active for auto catalysts and reactants) has been taken in account. The modeled problem is solved analytically. The impressions of the magnetic field, Prandtl number, thermal relaxation time, Schmidt number, homogeneous–heterogeneous reactions strength are considered through graphs. The velocity field diminished with an increasing magnetic field. The temperature field diminished with an increasing Prandtl number and thermal relaxation time. The concentration field upsurged with the increasing Schmidt number which decreased with increasing homogeneous-heterogeneous reactions strength. Furthermore, the impact of these parameters on skin fraction, Nusselt number, and Sherwood number were also accessible through tables. A comparison between analytical and numerical methods has been presented both graphically and numerically.

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Micropolar mixed convective flow with Cattaneo-Christov heat flux: Non-fourier heat conduction analysis

Thermal Science ◽

10.2298/tsci181220167h ◽

2020 ◽

Vol 24 (2 Part B) ◽

pp. 1345-1356 ◽

Cited By ~ 1

Author(s):

Abid Hussanan ◽

Ilyas Khan ◽

Waqar Khan ◽

Zhi-Min Chen

Keyword(s):

Heat Flux ◽

Relaxation Time ◽

Mixed Convection ◽

Thermal Relaxation ◽

Relaxation Parameter ◽

Rotation Parameter ◽

Thermal Relaxation Time ◽

Convection Flow ◽

Fluid Temperature ◽

The Impact

The purpose of this study is to investigate the impact of thermal relaxation time on the mixed convection flow of non-Newtonian micropolar fluid over a continuously stretching sheet of variable thickness in the presence of transverse magnetic field. An innovative and modified form of Fourier?s law, namely, Cattaneo-Christov heat flux is employed in the energy equation to study the characteristics of thermal relaxation time. The governing equations are transformed into ODE, using similarity transformations. Fourth order Runge-Kutta numerical method is used to solve these equations. The effects of relevant parameters such as a micro-rotation parameter, magnetic parameter, thermal relaxation parameter, Prandtl number, surface thickness parameter, and mixed convection parameter, on the physical quantities are graphically presented. Results illustrate that fluid temperature enhances with the rise of thermal relaxation parameter, but it reduces with an increase in micro-rotation parameter. The skin friction decreases with a rise in micro-rotation and micro-element parameters. However, variation in the rate of heat transfer is quite significant for small values of thermal relaxation parameter.

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Analytical and numerical approaches for Falkner–Skan flow of MHD Maxwell fluid using a non-Fourier heat flux model

International Journal of Numerical Methods for Heat &amp Fluid Flow ◽

10.1108/hff-08-2017-0316 ◽

2018 ◽

Vol 28 (7) ◽

pp. 1539-1555 ◽

Cited By ~ 3

Author(s):

S. Abbasbandy ◽

M. Mustafa

Keyword(s):

Heat Flux ◽

Relaxation Time ◽

Thermal Relaxation ◽

Maxwell Fluid ◽

Transverse Magnetic ◽

Thermal Relaxation Time ◽

Content Type ◽

Relaxation Effects ◽

Homotopy Analysis ◽

Heat Penetration

Purpose This paper aims to describe the laminar flow of Maxwell fluid past a non-isothermal rigid plate with a stream wise pressure gradient. Heat transfer mechanism is analyzed in the context of non-Fourier heat conduction featuring thermal relaxation effects. Design/methodology/approach Flow field is permeated to uniform transverse magnetic field. The governing transport equations are changed to globally similar ordinary differential equations, which are tackled analytically by homotopy analysis technique. Homotopy analysis method-Padè approach is used to accelerate the convergence of homotopy solutions. Also, numerical approximations are made by means of shooting method coupled with fifth-order Runge-Kutta method. Findings The solutions predict that fluid relaxation time has a tendency to suppress the hydrodynamic boundary layer. Also, heat penetration depth reduces for increasing values of thermal relaxation time. The general trend of wall temperature gradient appears to be similar in Fourier and Cattaneo–Christov models. Research limitations/implications An important implication of current research is that the thermal relaxation time considerably alters the temperature and surface heat flux. Originality/value Current problem even in case of Newtonian fluid has not been attempted previously.

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