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.

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.

Darcy–Forchheimer flow of nanofluid due to a curved stretching surface

2019 ◽  
Vol 29 (1) ◽  
pp. 2-20 ◽  
Author(s):  
Rai Sajjad Saif ◽  
T. Hayat ◽  
R. Ellahi ◽  
Taseer Muhammad ◽  
A. Alsaedi
Keyword(s):  
Brownian Motion ◽  
Biot Number ◽  
Motion Parameter ◽  
Content Type ◽  
Porosity Parameter ◽  
Reverse Trend ◽  
Inertia Coefficient ◽  
Curvature Parameter ◽  
Forchheimer Flow ◽  
Brownian Motion Parameter

Purpose The purpose of present communication is to analyze Darcy–Forchheimer flow of viscous nanofluid by curved stretchable surface. Flow in porous medium is characterized by Darcy–Forchheimer relation. Brownian diffusion and thermophoresis are considered. Convective heat and mass boundary conditions are also used at the curved stretchable surface. Design/methodology/approach The resulting nonlinear system is solved through shooting technique. Findings Skin friction coefficient is enhanced for larger porosity parameter and inertia coefficient while reverse trend is noticed for curvature parameter. Local Nusselt number is enhanced for higher Prandtl number and thermal Biot number, whereas the opposite trend is seen via curvature parameter, porosity parameter, inertia coefficient, thermophoresis parameter and Brownian motion parameter. Local Sherwood number is enhanced for Schmidt number, Brownian motion parameter and concentration Biot number, while reverse trend is noticed for curvature parameter, porosity parameter, inertia coefficient and thermophoresis parameter. Originality/value To the best of author’s knowledge, no such consideration has been given in the literature yet.

Biomedical study of effects nanoparticles on unsteady blood (non-Newtonian) flow through a catheterized stenotic vessel

2019 ◽  
Vol 97 (5) ◽  
pp. 487-497
Author(s):  
Akbar Zaman ◽  
M. Sajid ◽  
Nabeela Kousar
Keyword(s):  
Brownian Motion ◽  
Cross Section ◽  
Lewis Number ◽  
Elastic Parameter ◽  
Weissenberg Number ◽  
Motion Parameter ◽  
Cross Model ◽  
Explicit Finite Difference ◽  
Stenotic Vessel ◽  
Brownian Motion Parameter

The purpose of this article is to theoretically discuss the unsteady hemo-dynamics of blood through a catheterized overlapping stenotic vessel with nanoparticles. The nature of the blood is characterized by the constitutive Cross model equation. This study is conducted under the assumption of mild stenotic conditions and the equations of momentum and temperature are simplified after making this assumption. Explicit finite difference method is employed to obtain the numerical results of the governing equations. Results for different values of emerging parameters, such as Weissenberg number, Lewis number, thermophoresis parameter, and Brownian motion parameter are shown at different locations of an arterial cross section. These results demonstrate a pictorial way to comprehend the theoretical biomedical problem. These results reveal that Lewis number (Le) and visco-elastic parameter Weissenberg number (We) both are decreasing functions of velocity profiles at each arterial cross section. Furthermore, it is also noted that the thermophoresis parameter (Nt) quantitatively decreases the flow of blood inside the vessel while the Brownian motion parameter (Nb) shows the opposite effects on blood flow; it increases the magnitude of velocity.

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.

Non-Fourier thermal analysis on transport of heat and momentum in viscoelastic fluid over convectively heat surface in the presence of thermal memory effects

2020 ◽  
Vol ahead-of-print (ahead-of-print) ◽  
Author(s):  
Saima Batool ◽  
Muhammad Nawaz ◽  
Mohammed Kbiri Alaoui
Keyword(s):  
Heat Flux ◽  
Relaxation Time ◽  
Heat Generation ◽  
Thermal Relaxation ◽  
Maxwell Fluid ◽  
Literature Survey ◽  
Hybrid Nanofluid ◽  
Content Type ◽  
Flux Model ◽  
Heat Flux Model

PurposeThis study presents a mathematical approach and model that can be useful to investigate the thermal performance of fluids with microstructures via hybrid nanoparticles in conventional fluid. It has been found from the extensive literature survey that no study has been conducted to investigate buoyancy effects on the flow of Maxwell fluid comprised of hybrid microstructures and heat generation aspects through the non-Fourier heat flux model.Design/methodology/approachNon-Fourier heat flux model and non-Newtonian stress–strain rheology with momentum and thermal relaxation phenomena are used to model the transport of heat and momentum in viscoelastic fluid over convectively heated surface. The role of suspension of mono and hybrid nanostructures on an increase in the thermal efficiency of fluid is being used as a medium for transportation of heat energy. The governing mathematical problems with thermo-physical correlations are solved via shooting method.FindingsIt is noted from the simulations that rate of heat transfer is much faster in hybrid nanofluid as compare to simple nanofluid with the increasing heat-generation coefficient. Additionally, an increment in the thermal relaxation time leads to decrement in the reduced skin friction coefficient; however, strong behavior of Nusselt number is shown when thermal relaxation time becomes larger for hybrid nanofluid as well as simple nanofluid.Originality/valueAccording to the literature survey, no investigation has been made on buoyancy effects of Maxwell fluid flow with hybrid microstructures and heat generation aspects through non-Fourier heat flux model. The authors confirm that this work is original, and it has neither been published elsewhere nor is it currently under consideration for publication elsewhere.

Research on Heat Flux Distribution in Deep Grinding

2008 ◽  
Author(s):  
D. H. Zhu ◽  
B. Z. Li ◽  
J. G. Yang
Keyword(s):  
Heat Flux ◽  
Flux Distribution ◽  
Theoretical Expression ◽  
Uniform Heat Flux ◽  
Heat Transfer Mechanism ◽  
Heat Flux Distribution ◽  
Workpiece Surface ◽  
Quadratic Curve ◽  
Flux Model ◽  
Heat Flux Model

This paper studies the heat transfer mechanism in deep grinding process, especially the heat flux to the workpiece. On the basis of triangle moving heat source, a quadratic curve heat flux model in the grinding zone was developed to determine the heat flux distribution and to estimate the surface temperature of workpiece. From the calculated theoretical expression of heat flux to the workpiece, the quadratic curve heat flux can be understood as the superposition of square law heat flux, triangular heat flux and uniform heat flux in the grinding zone. Then four heat flux models using the determined amount of heat flux were applied to estimate the workpiece surface temperatures which were compared with that measured by the embedded thermocouple. It has been found that the quadratic curve heat flux distribution seems to give the best match with measured and theoretical temperature, although square law heat flux model is good enough to predict the temperature.

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