Influence of Cattaneo-Christov heat flux in flow of an Oldroyd-B fluid with variable thermal conductivity

2016 ◽  
Vol 26 (7) ◽  
pp. 2271-2282 ◽  
Author(s):  
Fahad Munir Abbasi ◽  
Sabir Ali Shehzad ◽  
T. Hayat ◽  
A. Alsaedi ◽  
A. Hegazy
Keyword(s):  
Heat Transfer ◽  
Thermal Conductivity ◽  
Heat Flux ◽  
Design Methodology ◽  
Nonlinear Problems ◽  
Variable Thermal Conductivity ◽  
Heat Transfer Analysis ◽  
Content Type ◽  
Flux Model ◽  
Heat Flux Model

Purpose The purpose of this paper is to introduce the Cattaneo-Christov heat flux model for an Oldroyd-B fluid. Design/methodology/approach Cattaneo-Christov heat flux model is utilized for the heat transfer analysis instead of Fourier’s law of heat conduction. Analytical solutions of nonlinear problems are computed. Findings The authors found that the temperature is decreased with an increase in relaxation time of heat flux but temperature gradient is enhanced. Originality/value No such analysis exists in the literature yet.

Characteristics of generalized Fourier’s heat flux and homogeneous-heterogeneous reactions in 3D flow of non-Newtonian cross fluid

2020 ◽  
Vol ahead-of-print (ahead-of-print) ◽  
Author(s):  
Mehboob Ali ◽  
F. Sultan ◽  
Waqar Azeem Khan ◽  
M. Shahzad ◽  
Hina Arif ◽  
...  
Keyword(s):  
Heat Flux ◽  
Numerical Scheme ◽  
Design Methodology ◽  
Heterogeneous Reaction ◽  
Heterogeneous Reactions ◽  
Nonlinear Pdes ◽  
3D Flow ◽  
Content Type ◽  
Flux Model ◽  
Heat Flux Model

Purpose The purpose of this paper is to investigate the heat transportation rate by using Cattaneo–Christov heat flux model. Furthermore, homogeneous-heterogeneous reaction is also deliberated in the modeling of concentration expression. Design/methodology/approach The nonlinear PDEs are reduced to ODEs via implementation of applicable transformations. Numerical scheme bvp4c is used to obtain convergent solutions. Findings The main findings are to characterize the generalized Fourier’s heat flux and homogeneous-heterogeneous reactions in 3D flow of non-Newtonian cross fluid. Originality/value It is to certify that this paper is neither published earlier nor submitted elsewhere.

Numerical study of Carreau nanofluid flow past vertical plate with the Cattaneo–Christov heat flux model

2019 ◽  
Vol 29 (2) ◽  
pp. 702-723 ◽  
Author(s):  
Vasu B. ◽  
Atul Kumar Ray
Keyword(s):  
Heat Flux ◽  
Brownian Motion ◽  
Weissenberg Number ◽  
Motion Parameter ◽  
Conduction Model ◽  
Content Type ◽  
Carreau Nanofluid ◽  
Flux Model ◽  
Heat Flux Model ◽  
Brownian Motion Parameter

PurposeTo achieve material-invariant formulation for heat transfer of Carreau nanofluid, the effect of Cattaneo–Christov heat flux is studied on a natural convective flow of Carreau nanofluid past a vertical plate with the periodic variations of surface temperature and the concentration of species. Buongiorno model is considered for nanofluid transport, which includes the relative slip mechanisms, Brownian motion and thermophoresis.Design/methodology/approachThe governing equations are non-dimensionalized using suitable transformations, further reduced to non-similar form using stream function formulation and solved by local non-similarity method with homotopy analysis method. The numerical computations are validated and verified by comparing with earlier published results and are found to be in good agreement.FindingsThe effects of varying the physical parameters such as Prandtl number, Schmidt number, Weissenberg number, thermophoresis parameter, Brownian motion parameter and buoyancy ratio parameter on velocity, temperature and species concentration are discussed and presented through graphs. The results explored that the velocity of shear thinning fluid is raised by increasing the Weissenberg number, while contrary response is seen for the shear thickening fluid. It is also found that heat transfer in Cattaneo–Christov heat conduction model is less than that in Fourier’s heat conduction model. Furthermore, the temperature and thermal boundary layer thickness expand with the increase in thermophoresis and Brownian motion parameter, whereas nanoparticle volume fraction increases with increase in thermophoresis parameter, but reverse trend is observed with increase in Brownian motion parameter.Originality/valueThe present investigation is relatively original as very little research has been reported on Carreau nanofluids under the effect of Cattaneo–Christov heat flux model.

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