MHD flow of Cattanneo–Christov heat flux model for Williamson fluid over a stretching sheet with variable thickness: Using numerical approach

Salahuddin, T.; Malik, M.Y.; Hussain, Arif; Bilal, S.; Awais, Muhammad

doi:10.1016/j.jmmm.2015.11.022

Cited by 160 publications

(67 citation statements)

References 21 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…He also presented multiple solutions for the non-MHD stretching plate problem. A few recent studies on MHD can be found in [31][32][33][34], with a few additional studies referenced therein. According to the best of our knowledge, no such attempt has been made on studying entropy generation of a MHD Eyring-Powell fluid through a permeable stretching sheet.…”

Section: Mathematical Formulationmentioning

confidence: 99%

Entropy Generation on MHD Eyring–Powell Nanofluid through a Permeable Stretching Surface

Bhatti

Abbas

Rashidi

et al. 2016

Entropy

131

View full text Add to dashboard Cite

Abstract:In this article, entropy generation of an Eyring-Powell nanofluid through a permeable stretching surface has been investigated. The impact of magnetohydrodynamics (MHD) and nonlinear thermal radiation are also taken into account. The governing flow problem is modeled with the help of similarity transformation variables. The resulting nonlinear ordinary differential equations are solved numerically with the combination of the Successive linearization method and Chebyshev spectral collocation method. The impact of all the emerging parameters such as Hartmann number, Prandtl number, radiation parameter, Lewis number, thermophoresis parameter, Brownian motion parameter, Reynolds number, fluid parameter, and Brinkmann number are discussed with the help of graphs and tables. It is observed that the influence of the magnetic field opposes the flow. Moreover, entropy generation profile behaves as an increasing function of all the physical parameters.

show abstract

Section: Mathematical Formulationmentioning

confidence: 99%

Entropy Generation on MHD Eyring–Powell Nanofluid through a Permeable Stretching Surface

Bhatti

Abbas

Rashidi

et al. 2016

Entropy

131

View full text Add to dashboard Cite

show abstract

“…Recently, many researchers in the current literature on the boundary layer flow of the stretching sheet have used the non-Fourier energy equation. Salahuddin et al [8] explored the temperature profile for the magnetohydrodynamic flow of Williamson fluid by fluctuating thickness, which displayed a decrement by the heat flux model associated with the conventional energy model. Hayat et al [9] deliberated the stagnation point flow of Jeffrey fluid towards a nonlinearly stretching sheet.…”

Section: Introductionmentioning

confidence: 99%

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

2020

View full text Add to dashboard Cite

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.

show abstract

“…They applied the Cattaneo–Christov heat flux model for the simulation of the energy equation instead of Fourier's law of heat conduction. Salahuddin and colleagues investigated MHD flow in the Cattaneo–Christov heat flux model for Williamson fluid over a stretching sheet with variable thicknesses. Their results illustrate that the velocity profile abates, whereas the temperature profile ascends with a rise in the Hartmann number.…”

Section: Introductionmentioning

confidence: 99%

Radiative nanofluid flow and heat transfer between parallel disks with penetrable and stretchable walls considering Cattaneo–Christov heat flux model

Dogonchi

Chamkha

Seyyedi

et al. 2018

Heat Trans. Asian Res.

View full text Add to dashboard Cite

In this work, we explore the unsteady squeezing flow and heat transfer of nanofluid between two parallel disks in which one of the disks is penetrable and the other is stretchable/shrinkable, in the presence of thermal radiation and heat source impacts, and considering the Cattaneo–Christov heat flux model instead of the more conventional Fourier's law of heat conduction. A similarity transformation is utilized to transmute the governing momentum and energy equations into nonlinear ordinary differential equations with the proper boundary conditions. The achieved nonlinear ordinary differential equations are solved by the Duan–Rach Approach (DRA). This method modifies the standard Adomian Decomposition Method by evaluating the inverse operators at the boundary conditions directly. The impacts of diverse active parameters, such as the suction/injection parameter, the solid volume fraction, the heat source parameter, the thermal relaxation parameter, and the radiation parameter on flow and heat transfer traits are examined. In addition, the value of the Nusselt number is calculated and portrayed through figures.

show abstract

MHD flow of Cattanneo–Christov heat flux model for Williamson fluid over a stretching sheet with variable thickness: Using numerical approach

Cited by 160 publications

References 21 publications

Entropy Generation on MHD Eyring–Powell Nanofluid through a Permeable Stretching Surface

Entropy Generation on MHD Eyring–Powell Nanofluid through a Permeable Stretching Surface

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

Radiative nanofluid flow and heat transfer between parallel disks with penetrable and stretchable walls considering Cattaneo–Christov heat flux model

Contact Info

Product

Resources

About