Utilization of updated version of heat flux model for the radiative flow of a non-Newtonian material under Joule heating: OHAM application

Open Physics ◽  
2021 ◽  
Vol 19 (1) ◽  
pp. 100-110
Author(s):  
Muhammad Sohail ◽  
Umair Ali ◽  
Fatema Tuz Zohra ◽  
Wael Al-Kouz ◽  
Yu-Ming Chu ◽  
...  
Keyword(s):  
Boundary Layer ◽  
Heat Flux ◽  
Joule Heating ◽  
Thermal Relaxation ◽  
Species Transport ◽  
Reported Study ◽  
Heat Transfer Phenomenon ◽  
Flux Model ◽  
Thermal Transmission ◽  
Definition Of

Abstract This study reports the thermal analysis and species transport to manifest non-Newtonian materials flowing over linear stretch sheets. The heat transfer phenomenon is presented by the Cattaneo–Christov definition of heat flux. Mass transportation is modeled using traditional Fick’s second law. In addition, the contribution of Joule heating and radiation to thermal transmission is also considered. Thermo-diffusion and diffusion-thermo are significant contributions involved in thermal transmission and species. The physical depiction of the scenario under consideration is modeled through the boundary layer approach. Similar analysis has been made to convert the PDE model system into the respective ODE. Then, the transformed physical expressions are calculated for momentum, thermal, and species transport within the boundary layer. The reported study is a novel contribution due to the combined comportment of thermal relaxation time, radiation, Joule heating, and thermo-diffusion, which are not yet explored. Several engineering systems are based on their applications and utilization.

Effect of Viscous Dissipation on Upper - Convected Maxwell Fluid with Cattaneo-Christov Heat Flux Model Using Spectral Relaxation Method

2018 ◽  
Vol 388 ◽  
pp. 146-157 ◽  
Author(s):  
K. Gangadhar ◽  
Chintalapudi Suresh Kumar ◽  
S. Mohammed Ibrahim ◽  
Giulio Lorenzini
Keyword(s):  
Boundary Layer ◽  
Heat Flux ◽  
Relaxation Time ◽  
Thermal Relaxation ◽  
Relaxation Method ◽  
Maxwell Fluid ◽  
Spectral Relaxation Method ◽  
Flux Model ◽  
Spectral Relaxation ◽  
Heat Flux Model

The study observes the flow and heat transfer in upper-convected Maxwell fluid over a rapidly stretching surface with viscous dissipation. Cattaneo-Christov heat flux model has been used in the preparation of the energy equation. The model is used in guessing the impacts of thermal relaxation time over boundary layer. Similarity method has been used to keep normal the supervising boundary layer equations. Local similarity solutions have been obtained through spectral relaxation method. The fluid temperature has a relation with thermal relaxation time inversely and our calculations have shown the same.. In addition the fluid velocity is a receding activity of the fluid relaxation time. A comparative study of Fourier’s law and the Cattaneo-Christov’s law has been done and inserted in this.

Unsteady Hydromagnetic Boundary Layer Flow of a Nanofluid over a Stretching Sheet: Using Cattaneo-Christov Heat Flux Model

2018 ◽  
Vol 388 ◽  
pp. 61-76 ◽  
Author(s):  
G. Vinod Kumar ◽  
S. Vijaya Kumar Varma ◽  
R.V.M.S.S. Kiran Kumar
Keyword(s):  
Boundary Layer ◽  
Heat Flux ◽  
Stretching Sheet ◽  
Thermal Relaxation ◽  
Fluid Temperature ◽  
Shooting Technique ◽  
Buongiorno’S Model ◽  
Flux Model ◽  
Layer Flow ◽  
Heat Flux Model

The present investigation has put a focus on the hydromagnetic boundary layer unsteady flow of a nanofluid over a stretching sheet. A new heat flux model named Cattaneo-Christov is applied as the substitution of classical Fourier’s law. Buongiorno’s model is incorporated. The coupled non-linear transformed equations are solved numerically by using shooting technique with MATLAB bvp4c package. The obtained results are presented and discussed through graphs and tables in detail. Our results reveal that the unsteady parameter reduces all the three boundary layer thickness. The thermal relaxation parameter exhibits a non-conducting nature that makes the decline in fluid temperature.

Analysis of modified Fourier law in flow of ferromagnetic Powell–Eyring fluid considering two equal magnetic dipoles

2019 ◽  
Vol 97 (7) ◽  
pp. 772-776 ◽  
Author(s):  
M. Zubair ◽  
M. Ijaz ◽  
T. Abbas ◽  
A. Riaz
Keyword(s):  
Boundary Layer ◽  
Boundary Layer Flow ◽  
Constitutive Relations ◽  
Flow Analysis ◽  
Thermal Relaxation ◽  
Fourier Law ◽  
Magnetic Dipoles ◽  
Flux Model ◽  
Layer Flow ◽  
Heat Flux Model

The target of the current study is to inspect theoretically 2D boundary layer flow of an Eyring–Powell ferromagnetic liquid over a flat plate. An external magnetic field due to two magnetic dipoles is applied. Modified Fourier law of heat flux model is employed. Constitutive relations for Eyring–Powell fluid are considered in the boundary layer flow analysis. Series results to the nonlinear formulation are derived and scrutinized by homotopic scheme. Characteristics of various parameters like magneto-thermomechanical (ferrohydrodynamic) interaction parameter, Prandtl number, and dimensionless thermal relaxation on temperature profile are displayed via graphs. It is noted that temperature field decays via thermal relaxation factor.

Cattaneo–Christov heat flux model on Blasius–Rayleigh–Stokes flow through a transitive magnetic field and Joule heating

2020 ◽  
Vol 548 ◽  
pp. 123991 ◽  
Author(s):  
M. Gnaneswara Reddy ◽  
M.V. V. N.L. Sudha Rani ◽  
K. Ganesh Kumar ◽  
B.C. Prasannakumar ◽  
Ali J. Chamkha
Keyword(s):  
Magnetic Field ◽  
Heat Flux ◽  
Joule Heating ◽  
Stokes Flow ◽  
Flux Model ◽  
Flow Through ◽  
Heat Flux Model

scholarly journals MHD Slip Flow of CNT-Ethylene Glycol Nanofluid due to a Stretchable Rotating Disk with Cattaneo–Christov Heat Flux Model

2020 ◽  
Vol 2020 ◽  
pp. 1-13 ◽  
Author(s):  
Ayele Tulu ◽  
Wubshet Ibrahim
Keyword(s):  
Magnetic Field ◽  
Boundary Layer ◽  
Heat Flux ◽  
Ethylene Glycol ◽  
Layer Thickness ◽  
Boundary Layer Thickness ◽  
Rotating Disk ◽  
Temperature Fields ◽  
Flux Model ◽  
Heat Flux Model

This article deals with carbon nanoliquid flow due to stretchable rotating disk with the effect of Cattaneo–Christov heat flux model. Both SWCNTs and MWCNTs are considered with ethylene glycol as the base fluid. The effects of nanoparticle volume friction, normally applied magnetic field, stretching factor, velocity, and thermal slip factors are examined. The fundamental flow governing equations are transformed into dimensionless system of coupled nonlinear ordinary differential equations, and they are solved numerically using spectral quasi-linearization method (SQLM). Employing graphs and tables, the results of velocity and temperature fields as well as skin friction coefficient and local heat transfer rate are analyzed and presented via embedded parameters. The results reveal that higher velocity fields and lower temperature fields are noticed in the MWCNT nanofluids than SWCNT nanofluids. The higher incidence of magnetic field improves the thermal boundary layer thickness. A growth in velocity slip factor reduces the momentum boundary layer thickness of the nanoliquid flow. Generally, radial stretching of the disk is helpful in improving the cooling process of the rotating disk in practical applications.

Curvilinear flow of micropolar fluid with Cattaneo–Christov heat flux model due to oscillation of curved stretchable sheet

2021 ◽  
Vol 0 (0) ◽  
Author(s):  
Muhammad Naveed ◽  
Muhammad Imran ◽  
Zaheer Abbas
Keyword(s):  
Heat Flux ◽  
Micropolar Fluid ◽  
Fluid Velocity ◽  
Thermal Relaxation ◽  
Curvilinear Coordinates ◽  
Curved Surface ◽  
Radius Of Curvature ◽  
Published Data ◽  
Flux Model ◽  
Heat Flux Model

Abstract This paper aims to investigate the transfer of heat phenomenon in a hydromagnetic time dependent flow of micropolar fluid across an oscillating stretchable curved surface by using the Cattaneo–Christov heat flux model, which considers thermal relaxation time. An elastic curved surface that stretches back and forth causes the flow situation. The flow equations are derived as nonlinear partial differential equations by incorporating a curvilinear coordinates system, which is then solved analytically via the homotopy analysis method (HAM). The accuracy of the derived analytical results is also examined by using a finite-difference technique known as the Keller box method, and it is found to be in strong agreement. The influences of various physical characteristics such as material parameter, magnetic parameter, thermal relaxation parameter, a dimensionless radius of curvature, Prandtl number and ratio of surface’s oscillating frequency to its stretching rate parameter on angular velocity, fluid velocity, pressure, temperature, heat transmission rate, and skin friction and couple stress coefficient are depicted in detail with the help of graphs and tables. Furthermore, for the verification and validation of the current results, a tabular comparison of the published data in the literature for the case of flat oscillating surface versus curved oscillating surface is carried out and found to be in good agreement.

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