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

Symmetry ◽  
2019 ◽  
Vol 11 (3) ◽  
pp. 439 ◽  
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.

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

2020 ◽  
Vol 24 (2 Part B) ◽  
pp. 1345-1356 ◽  
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.

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

2018 ◽  
Vol 28 (7) ◽  
pp. 1539-1555 ◽  
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.

Hybrid nanofluid flow over a stretched cylinder with the impact of homogeneous–heterogeneous reactions and Cattaneo–Christov heat flux: Series solution and numerical simulation

Heat Transfer ◽  
2021 ◽  
Author(s):  
Anthonysamy John Christopher ◽  
Nanjundan Magesh ◽  
Ramanahalli Jayadevamurthy Punith Gowda ◽  
Rangaswamy Naveen Kumar ◽  
Ravikumar Shashikala Varun Kumar
Keyword(s):  
Numerical Simulation ◽  
Heat Flux ◽  
Series Solution ◽  
Heterogeneous Reactions ◽  
Hybrid Nanofluid ◽  
Nanofluid Flow ◽  
The Impact

On measurement of the thermal relaxation time in transient thermal processes of solids

2015 ◽  
Vol 58 (3) ◽  
pp. 251-257 ◽  
Author(s):  
Yu. A. Kirsanov ◽  
A. Yu. Kirsanov ◽  
K. Kh. Gil’fanov ◽  
A. E. Yudakhin
Keyword(s):  
Relaxation Time ◽  
Thermal Relaxation ◽  
Thermal Relaxation Time ◽  
Thermal Processes ◽  
Transient Thermal

scholarly journals Numerical Investigation for Radiative Transport in Magnetized Flow of Nanofluids due to Moving Surface

2021 ◽  
Vol 2021 ◽  
pp. 1-10
Author(s):  
Hassan Waqas ◽  
Shan Ali Khan ◽  
Metib Alghamdi ◽  
Taseer Muhammad
Keyword(s):  
Magnetic Field ◽  
Temperature Field ◽  
Heat Generation ◽  
Biomedical Engineering ◽  
Schmidt Number ◽  
Stretching Sheet ◽  
Concentration Field ◽  
Flow Properties ◽  
Similarity Transformations ◽  
Water Based

In this article, we examined the magnetized flow of ethylene glycol- 50 − 50 % water-based nanoliquids comprising molybdenum disulfide ( MoS 2 ) across a stretching sheet. Flow properties were examined under the impacts of magnetic field and thermal radiation. The behavior of heat generation/absorption is also accounted. Similarity transformations are used on the system of PDEs to get nondimensional ODEs. The obtained nondimensional ODEs are solved with the help of the Runge–Kutta–Fehlberg method via computational software MATHEMATICA. The behavior of prominent parameters for velocity and thermal profiles is plotted graphically and discussed in detail. It is depicted that the temperature field is upgraded with increase in the heat generation/absorption parameter. Furthermore, a larger Schmidt number causes reduction in the concentration field. The current formulated model may be useful in biomedical engineering, biotechnology, nanotechnology, biosensors, crystal growth, plastic industries, and mineral and cleaning oil manufacturing.

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