Analytical Study of Cattaneo-Christov Heat Flux Model for Williamson-Nanofluid Flow Over a Slender Elastic Sheet with Variable Thickness

2018 ◽  
Vol 7 (3) ◽  
pp. 583-594 ◽  
Author(s):  
K. V. Prasad ◽  
Hanumesh Vaidya ◽  
K. Vajravelu ◽  
V. Ramanjini
Keyword(s):  
Heat Flux ◽  
Variable Thickness ◽  
Analytical Study ◽  
Nanofluid Flow ◽  
Elastic Sheet ◽  
Flux Model ◽  
Heat Flux Model

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.

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.

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

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 Hydromagnetic mixed convective flow over a wall with variable thickness and Cattaneo-Christov heat flux model: OHAM analysis

2018 ◽  
Vol 8 ◽  
pp. 621-627 ◽  
Author(s):  
Muhammad Awais ◽  
Saeed Ehsan Awan ◽  
Khalid Iqbal ◽  
Zuhaib Ashfaq Khan ◽  
Muhammad Asif Zahoor Raja
Keyword(s):  
Heat Flux ◽  
Variable Thickness ◽  
Convective Flow ◽  
Flux Model ◽  
Mixed Convective Flow ◽  
Heat Flux Model

scholarly journals Cattaneo-Christov Heat Flux Model for Second Grade Nanofluid Flow with Hall Effect through Entropy Generation over Stretchable Rotating Disk

Coatings ◽  
2020 ◽  
Vol 10 (7) ◽  
pp. 610
Author(s):  
Muhammad Wakeel Ahmad ◽  
Luthais B. McCash ◽  
Zahir Shah ◽  
Rashid Nawaz
Keyword(s):  
Heat Flux ◽  
Temperature Difference ◽  
Axial Velocity ◽  
Diffusion Parameter ◽  
Second Grade ◽  
Bejan Number ◽  
Total Entropy ◽  
Nanofluid Flow ◽  
Flux Model ◽  
Heat Flux Model

The second grade nanofluid flow with Cattaneo-Christov heat flux model by a stretching disk is examined in this paper. The nanofluid flow is characterized with Hall current, Brownian motion and thermophoresis influences. Entropy optimization with nonlinear thermal radiation, Joule heating and heat absorption/generation is also presented. The convergence of an analytical approach (HAM) is shown. Variation in the nanofluid flow profiles (velocities, thermal, concentration, total entropy, Bejan number) via influential parameters and number are also presented. Radial velocity, axial velocity and total entropy are enhanced with the Weissenberg number. Axial velocity, tangential velocity and Bejan number are heightened with the Hall parameter. The total entropy profile is enhanced with the Brinkman number, diffusion parameter, magnetic parameter and temperature difference. The Bejan number profile is heightened with the diffusion parameter and temperature difference. Arithmetical values of physical quantities are illustrated in Tables.

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