scholarly journals Micropolar Couple Stress Nanofluid Flow by Non-Fourier’s-Law Heat Flux Model past a Stretching Sheet

2021 ◽  
Vol 2021 ◽  
pp. 1-18
Author(s):  
Gosa Gadisa ◽  
Tagay Takele ◽  
Shibiru Jabessa
Keyword(s):  
Heat Flux ◽  
Numerical Method ◽  
Couple Stress ◽  
Stretching Sheet ◽  
Fourier’S Law ◽  
Nanofluid Flow ◽  
Local Skin ◽  
Flux Model ◽  
Fourier's Law ◽  
Heat Flux Model

In this investigation, thermal radiation effect on MHD nonlinear convective micropolar couple stress nanofluid flow by non-Fourier’s-law heat flux model past a stretching sheet with the effects of diffusion-thermo, thermal-diffusion, and first-order chemical reaction rate is reported. The robust numerical method called the Galerkin finite element method is applied to solve the proposed fluid model. We applied grid-invariance test to approve the convergence of the series solution. The effect of the various pertinent variables on velocity, angular velocity, temperature, concentration, local skin friction, local wall couple stress, local Nusselt number, and local Sherwood number is analyzed in both graphical and tabular forms. The range of the major relevant parameters used for analysis of the present study was adopted from different existing literatures by taking into consideration the history of the parameters and is given by 0.07 ≤ Pr ≤ 7.0 , 0.0 ≤ λ , ε ≤ 1.0 , 0.0 ≤ R d , D f   , S r , K , ≤ 1.5 , 0.0 ≤ γ E ≤ 0.9 , 0.9 ≤ S c ≤ 1.5 , 0.5 ≤ M ≤ 1.5 , 0.0 ≤ β ≤ 1.0 , 0 . 2 ≤ N b ≤ 0 . 4 , 0 . 1 ≤ N t ≤ 0 . 3 . The result obtained in this study is compared with that in the available literatures to confirm the validity of the present numerical method. Our result shows that the heat and mass transfer in the flow region of micropolar couple stress fluid can be enhanced by boosting the radiation parameters.

Impact of Cattaneo–Christov Heat Flux Model on Stagnation-Point Flow Toward a Stretching Sheet with Slip Effects

2018 ◽  
Vol 141 (2) ◽  
Author(s):  
Fayeza Al Sulti
Keyword(s):  
Heat Flux ◽  
Differential Equations ◽  
Stagnation Point ◽  
Stretching Sheet ◽  
Stagnation Point Flow ◽  
Fourier’S Law ◽  
Slip Effects ◽  
Flux Model ◽  
Fourier's Law ◽  
Heat Flux Model

Stagnation-point flow toward a stretching sheet with slip effects has been investigated. Unlike most classical works, Cattaneo–Christov heat flux model is utilized for the formulation of the energy equation instead of Fourier's law of heat conduction. A similarity transformation technique is adopted to reduce partial differential equations into a system of nonlinear ordinary differential equations. Numerical solutions are obtained by using shooting method to explore the features of various parameters for the velocity and temperature distributions. The obtained results are graphically presented and analyzed. It is found that fluid temperature has a converse relationship with the thermal relaxation time. A comparison of Cattaneo–Christov heat flux model and Fourier's law is also presented.

Computational modelling of nanofluid flow over a curved stretching sheet using Koo–Kleinstreuer and Li (KKL) correlation and modified Fourier heat flux model

2021 ◽  
Vol 145 ◽  
pp. 110774
Author(s):  
R.J. Punith Gowda ◽  
Fahad S. Al-Mubaddel ◽  
R. Naveen Kumar ◽  
B.C. Prasannakumara ◽  
Alibek Issakhov ◽  
...  
Keyword(s):  
Heat Flux ◽  
Stretching Sheet ◽  
Computational Modelling ◽  
Nanofluid Flow ◽  
Flux Model ◽  
Heat Flux Model

scholarly journals Hall Effect on Couple Stress 3D Nanofluid Flow Over an Exponentially Stretched Surface With Cattaneo Christov Heat Flux Model

IEEE Access ◽  
2019 ◽  
Vol 7 ◽  
pp. 64844-64855 ◽  
Author(s):  
Zahir Shah ◽  
Abdullah Dawar ◽  
Ebraheem O. Alzahrani ◽  
Poom Kumam ◽  
Abdul Jabar Khan ◽  
...  
Keyword(s):  
Heat Flux ◽  
Hall Effect ◽  
Couple Stress ◽  
Nanofluid Flow ◽  
Flux Model ◽  
Heat Flux Model

scholarly journals Numerical Study of Natural Convection Flow of Nanofluid Past a Circular Cone with Cattaneo–Christov Heat and Mass Flux Models

Symmetry ◽  
2019 ◽  
Vol 11 (11) ◽  
pp. 1363 ◽  
Author(s):  
Iqbal ◽  
Khan ◽  
Mustafa ◽  
Ghaffari
Keyword(s):  
Heat Flux ◽  
Mass Flux ◽  
Relaxation Parameter ◽  
Circular Cone ◽  
Convection Flow ◽  
Governing Equations ◽  
Nanofluid Flow ◽  
Natural Convection Flow ◽  
Flux Model ◽  
Heat Flux Model

The objective of this study is to analyze the natural convection flow of nanofluid along a circular cone placed in a vertical direction. The generalized heat flux and mass flux models are commonly known as the Cattaneo–Christov heat flux model and mass flux models. In the present study, these models are used for both heat and mass transfers analysis in nanofluid flow. For the governing equations, the Buongiorno transport model is used in which two important slip mechanism, namely thermophoresis and Brownian motion parameters, are discussed. The resulting governing equations in the form of partial differential equations (PDEs) are converted into ordinary differential equations (ODEs) due to similar flow along the surface of a circular cone. To solve these ODEs, a numerical algorithm based on implicit finite difference scheme is utilized. The effects of dimensionless parameters on heat and mass transfer in nanofluid flow are discussed graphically in the form of velocity profile, temperature profile, Sherwood number and Nusselt number. It is noted that in the presence of the Cattaneo–Christov heat flux model and mass flux model, the heat transfer rate decreases by increasing both thermal and concentration relaxation parameters; however, Sherwood number decreases by increasing the thermal relaxation parameter, and increases by increasing the concentration relaxation parameter.

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