MHD viscoelastic flow and heat transfer over a vertical stretching sheet with Cattaneo-Christov heat flux effects

Li, Jing; Zheng, Liancun; Liu, Lin

doi:10.1016/j.molliq.2016.05.051

Cited by 156 publications

(46 citation statements)

References 30 publications

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“…The Cattaneo-Christov model was accomplished by Zampoli and Tibullo [12] for an incompressible fluid. Lie et al [13] found that the influence of the Cattaneo-Christov model for Maxwell hydro-magnetic fluid originated from the vertically moving 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

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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.

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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

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“…The idea of boundary layer phenomenon has several implementations in chemical, civil and mechanical engineering fields. Examples include furnace engineering, thermal insulation process of buildings, aircraft, solar energy collectors, chemical processes, underground nuclear/non‐nuclear waste materials, geophysical systems, etc . Moreover, triple diffusive convection is a natural phenomenon in which the density depends on 3 stratifying agencies such as heat and salts concentration having different diffusivities.…”

Section: Introductionmentioning

confidence: 99%

“…Examples include furnace engineering, thermal insulation process of buildings, aircraft, solar energy collectors, chemical processes, underground nuclear/non-nuclear waste materials, geophysical systems, etc. [27][28][29][30][31][32] Moreover, triple diffusive convection is a natural phenomenon in which the density depends on 3 stratifying agencies such as heat and salts concentration having different diffusivities. It has pertinent applications in transport of contaminants, flow of underground water, and so on.…”

Section: Introductionmentioning

confidence: 99%

Triple diffusive flow of nanofluid with buoyancy forces and nonlinear thermal radiation over a horizontal plate

Archana

Reddy

Gireesha

et al. 2018

Heat Trans. Asian Res.

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The present attempt is made to elaborate the features of triple diffusive convective flow of an incompressible nanoliquid induced by horizontal surface under buoyancy forces. The effect of nonlinear thermal radiation is taken into account. Heat flux model of radiation is formulated through Rosseland's approximation. The radiation phenomenon plays a key role in modern solar energy equipment's. The nondimensional variables are introduced to convert the dimensional mathematical expressions into dimensionless single independent variable. Numerical scheme is developed to obtain the solution of mathematical model. The importance of controlling constraints on flow quantities are characterized through plots. The quantities of engineering importance are computed and elaborated graphically. It is noticed that the presence of salts and nanoparticles enhance the thermal performance of base liquid. The liquid temperature and its relevant thickness of thermal layer improved significantly with an increment in the values of radiative parameter. The larger values of parameters of Brownian motion and thermophoretic correspond to higher temperature profiles.

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“…Waqas et al [28] employed the heat flux by Cattaneo-Christov theory to examine the flow of variable thermal conductivity generalized Burgers fluid. Li et al [29] studied the MHD viscoelastic flow and heat transfer past a vertical stretchable surface with Cattaneo-Christov heat flux. Recently Hayat et al [30] analyzed three-dimensional flow of nanofluid subject to Cattaneo-Christov double diffusion.…”

Section: Introductionmentioning

confidence: 99%

Darcy-Forchheimer flow with Cattaneo-Christov heat flux and homogeneous-heterogeneous reactions

et al. 2017

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Here Darcy-Forchheimer flow of viscoelastic fluids has been analyzed in the presence of Cattaneo-Christov heat flux and homogeneous-heterogeneous reactions. Results for two viscoelastic fluids are obtained and compared. A linear stretching surface has been used to generate the flow. Flow in porous media is characterized by considering the Darcy-Forchheimer model. Modified version of Fourier's law through Cattaneo-Christov heat flux is employed. Equal diffusion coefficients are employed for both reactants and auto catalyst. Optimal homotopy scheme is employed for solutions development of nonlinear problems. Solutions expressions of velocity, temperature and concentration fields are provided. Skin friction coefficient and heat transfer rate are computed and analyzed. Here the temperature and thermal boundary layer thickness are lower for Cattaneo-Christov heat flux model in comparison to classical Fourier's law of heat conduction. Moreover, the homogeneous and heterogeneous reactions parameters have opposite behaviors for concentration field.

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MHD viscoelastic flow and heat transfer over a vertical stretching sheet with Cattaneo-Christov heat flux effects

Cited by 156 publications

References 30 publications

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

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

Triple diffusive flow of nanofluid with buoyancy forces and nonlinear thermal radiation over a horizontal plate

Darcy-Forchheimer flow with Cattaneo-Christov heat flux and homogeneous-heterogeneous reactions

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