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.

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.

Analytical study of Cattaneo–Christov heat flux model for a boundary layer flow of Oldroyd-B fluid

2016 ◽  
Vol 25 (1) ◽  
pp. 014701 ◽  
Author(s):  
F M Abbasi ◽  
M Mustafa ◽  
S A Shehzad ◽  
M S Alhuthali ◽  
T Hayat
Keyword(s):  
Boundary Layer ◽  
Heat Flux ◽  
Boundary Layer Flow ◽  
Analytical Study ◽  
Flux Model ◽  
Layer Flow ◽  
Heat Flux Model

scholarly journals Finite Element Analysis of Variable Viscosity Impact on MHD Flow and Heat Transfer of Nanofluid Using the Cattaneo–Christov Model

Coatings ◽  
2020 ◽  
Vol 10 (4) ◽  
pp. 395 ◽  
Author(s):  
Liaqat Ali ◽  
Xiaomin Liu ◽  
Bagh Ali
Keyword(s):  
Heat Transfer ◽  
Heat Flux ◽  
Finite Element ◽  
Differential Equations ◽  
Thermal Relaxation ◽  
Fluid Temperature ◽  
Flow And Heat Transfer ◽  
Flux Model ◽  
The Impact ◽  
Heat Flux Model

In this mathematical study, magnetohydrodynamic, time-independent nanofluid flow over a stretching sheet by using the Cattaneo–Christov heat flux model is inspected. The impact of the thermal, solutal boundary and gravitational body forces with the effect of double stratification on the mass flow and heat transfer phenomena is also observed. The temperature-dependent viscosity impact on heat transfer through a moving sheet with capricious heat generation in nanofluids have studied, and the viscosity of the fluid is presumed to deviate as the inverse function of temperature. With the appropriate transformations, the system of partial differential equations is transformed into a system of nonlinear ordinary differential equations. By applying the variational finite element method, the transformed system of equations is solved. The properties of the several parameters for buoyancy, velocity, temperature, stratification, and Brownian motion parameters have examined. The enhancement in the concentration and thermal boundary layer thickness of the nanofluid sheet due to the increment in the viscosity parameter, also increased the temperature and concentration of nanoparticles. Moreover, the fluid temperature declined with the increasing values of thermal relaxation parameter. This displays that the Cattaneo–Christov heat flux model provides a better assessment of temperature distribution. Moreover, confirmation of the code and precision of the numerical method has inveterate with the valuation of the presented results with previous studies.

scholarly journals On the Cattaneo–Christov Heat Flux Model and OHAM Analysis for Three Different Types of Nanofluids

2020 ◽  
Vol 10 (3) ◽  
pp. 886 ◽  
Author(s):  
Umair Khan ◽  
Shafiq Ahmad ◽  
Arsalan Hayyat ◽  
Ilyas Khan ◽  
Kottakkaran Sooppy Nisar ◽  
...  
Keyword(s):  
Heat Transfer ◽  
Heat Flux ◽  
Pure Water ◽  
Thermal Relaxation ◽  
Relaxation Parameter ◽  
Fluid Temperature ◽  
Optimal Homotopy Analysis Method ◽  
Similarity Transformations ◽  
Flux Model ◽  
Heat Flux Model

In this article, the boundary layer flow of a viscous nanofluid induced by an exponentially stretching surface embedded in a permeable medium with the Cattaneo–Christov heat flux model (CCHFM) is scrutinized. We took three distinct kinds of nanoparticles, such as alumina (Al2O3), titania (TiO2) and copper (Cu) with pure water as the base fluid. The features of the heat transfer mechanism, as well as the influence of the relaxation parameter on the present viscous nanofluid flow are discussed here thoroughly. The thermal stratification is taken in this phenomenon. First of all, the problem is simplified mathematically by utilizing feasible similarity transformations and then solved analytically through the OHAM (optimal homotopy analysis method) to get accurate analytical solutions. The change in temperature distribution and axial velocity for the selected values of the specific parameters has been graphically portrayed in figures. An important fact is observed when the thermal relaxation parameter (TRP) is increased progressively. Graphically, it is found that an intensification in this parameter results in the exhaustion of the fluid temperature together with an enhancement in the heat transfer rate. A comparative discussion is also done over the Fourier’s law and Cattaneo–Christov model of heat.

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