Variable viscosity and MHD flow in Casson fluid with Cattaneo–Christov heat flux model: Using Keller box method

Malik, M.Y.; Khan, Masood; Salahuddin, T.; Khan, Imad

doi:10.1016/j.jestch.2016.06.008

Cited by 90 publications

(53 citation statements)

References 28 publications

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“…Due to friction and internal heat generated between two layers of fluid, viscosity and thermal conductivity of fluid substance may be affected by temperature; for more details see Batchelor [34], Lai and Kulacki [35], and Abd El-Aziz [36]. Proper consideration of this fact in the study on inherent irreversibility in a variable viscosity Couette flow by Makinde and Maserumule [37], numerical investigation of micropolar fluid flow over a nonlinear stretching sheet taking into account the effects of a temperature-dependent viscosity by Rahman et al [38], effects of MHD on Casson fluid flow in the presence of Cattaneo-Christov heat flux by Malik et al [39], fluid flow through a pipe with variation in viscosity by Makinde [40], Casson fluid flow within boundary layer over an exponentially stretching surface embedded in a thermally stratified medium by Animasaun [41], steady fully developed natural convection flow in a vertical annular microchannel having temperature-dependent viscosity in the presence of velocity slip and temperature jump at the annular microchannel surfaces by Jha et al [42] have enhanced the body of knowledge on fluid flow, boundary layer analysis, and heat/mass transfer. In a recent experiment, Alam et al [43] concluded that thermal boundary layer decreases with an increasing temperature-dependent viscosity.…”

Section: Journal Of Applied Mathematicsmentioning

confidence: 99%

Viscous Dissipation Effects on the Motion of Casson Fluid over an Upper Horizontal Thermally Stratified Melting Surface of a Paraboloid of Revolution: Boundary Layer Analysis

Ajayi

Omowaye

Animasaun

2017

Journal of Applied Mathematics

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The problem of a non-Newtonian fluid flow past an upper surface of an object that is neither a perfect horizontal/vertical nor inclined/cone in which dissipation of energy is associated with temperature-dependent plastic dynamic viscosity is considered. An attempt has been made to focus on the case of two-dimensional Casson fluid flow over a horizontal melting surface embedded in a thermally stratified medium. Since the viscosity of the non-Newtonian fluid tends to take energy from the motion (kinetic energy) and transform it into internal energy, the viscous dissipation term is accommodated in the energy equation. Due to the existence of internal space-dependent heat source; plastic dynamic viscosity and thermal conductivity of the non-Newtonian fluid are assumed to vary linearly with temperature. Based on the boundary layer assumptions, suitable similarity variables are applied to nondimensionalized, parameterized and reduce the governing partial differential equations into a coupled ordinary differential equations. These equations along with the boundary conditions are solved numerically using the shooting method together with the Runge-Kutta technique. The effects of pertinent parameters are established. A significant increases in Re 1/2 is guaranteed with when magnitude of is large. Re 1/2 decreases with and .

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Section: Journal Of Applied Mathematicsmentioning

confidence: 99%

Viscous Dissipation Effects on the Motion of Casson Fluid over an Upper Horizontal Thermally Stratified Melting Surface of a Paraboloid of Revolution: Boundary Layer Analysis

Ajayi

Omowaye

Animasaun

2017

Journal of Applied Mathematics

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“…Crane in 1970 worked on boundary flow over stretching sheets. Some recent developments on stretching surface can be seen in the articles Malik et al; Malik, Khan, and Salahuddin; Alarifi et al; Khan et al; Sohail et al; Khan and Khan; and Khan et al Irfan et al examined the unsteady Carreau nanofluid and found dual solution with the effect of chemical reaction. Different from the above work, the flow on a shrinking surface was considered by Miklavcic and Wang .…”

Section: Introductionmentioning

confidence: 99%

Stefan Blowing and Slip Effects on Unsteady Nanofluid Transport Past a Shrinking Sheet: Multiple Solutions

Dero

Uddin

Rohni

2019

Heat Trans. Asian Res.

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The aim of a present article is to investigate the laminar unsteady two‐dimensional boundary layer flow of a nanofluid with Stefan blowing and slip effect. First, governing boundary layer equations are converted in the ordinary form of the differential equations (ODEs) from partial differential equations using appropriate coordinate transformations. The obtained ODEs are then solved by applying a shooting method with the Runge‐Kutta fourth order method by implementation of the Maple software. The influences of different controlling dimensionless parameters over the dimensionless velocity, temperature, concentration, friction factor, local heat as well as mass transfer have been discussed and represented by plots. It is found that there exist dual solutions for the different applied nanofluid parameters along with the blowing parameter. The results reveal that by increasing the values of the Brownian motion (Nb), thermophoresis (Nt) and blowing parameters (fw), the skin friction increases (decreases) in the first (second) solution.

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“…Cattaneo-Christov heat flux model is imposed to disclose the heat transfer characteristics of variable thermal conductivity viscoelastic fluid over a stretching sheet with variable thickness was investigated by Hayat et al (2015). Cattaneo-Christov heat flux model for Sisko fluid flow past a permeable non-linearly stretching cylinder was explore by Malik et al (2016). Further, it was found that both the velocity and temperature diminished with increasing values of the power-law index and stretching parameter whereas, the temperature was found to be inversely proportional to the thermal relaxation time.…”

Section: Introductionmentioning

confidence: 99%

Impact of Cattaneo-Christov Heat Flux in the Casson Fluid Flow Over a Stretching Surface With Aligned Magnetic Field and Homogeneous - Heterogeneous Chemical Reaction

Reddy¹,

Suneetha²

2018

Frontiers in Heat and Mass Transfer

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This work concentrates on the effects of homogeneous-heterogeneous chemical reactions on MHD boundary layer flow of Casson fluid over a stretching surface. Cattaneo-Christov heat flux model is considered instead of classical Fourier's law to explore the heat transfer phenomena. Appropriate similarity transformations are used to convert the governing partial differential equations into a system of coupled non-linear differential equations. The resulting coupled non-linear differential equations are solved numerically by using the fourth order Runge-Kutta method with shooting technique. The impact of significant parameters on velocity, temperature, concentration, skin friction coefficient and the Nusselt number are presented graphically and in tabular form. Our computations disclose that fluid temperature has inverse relationship with the thermal relaxation time. Also, the strength of homogeneous and heterogeneous parameters has no effect on the skin friction coefficient and Nusselt number.

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Variable viscosity and MHD flow in Casson fluid with Cattaneo–Christov heat flux model: Using Keller box method

Cited by 90 publications

References 28 publications

Viscous Dissipation Effects on the Motion of Casson Fluid over an Upper Horizontal Thermally Stratified Melting Surface of a Paraboloid of Revolution: Boundary Layer Analysis

Viscous Dissipation Effects on the Motion of Casson Fluid over an Upper Horizontal Thermally Stratified Melting Surface of a Paraboloid of Revolution: Boundary Layer Analysis

Stefan Blowing and Slip Effects on Unsteady Nanofluid Transport Past a Shrinking Sheet: Multiple Solutions

Impact of Cattaneo-Christov Heat Flux in the Casson Fluid Flow Over a Stretching Surface With Aligned Magnetic Field and Homogeneous - Heterogeneous Chemical Reaction

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