Study of visco-elastic fluid flow and heat transfer over a stretching sheet with variable viscosity

Abel, M. Subhas; Khan, Sujit Kumar; Prasad, K. V.

doi:10.1016/s0020-7462(00)00098-6

Cited by 132 publications

(55 citation statements)

References 19 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…However, it is well known that (Herwig and Wickern [23], Lai and Kulacki [24], Takhar [25], Pop et al [26], Hassanien et al [27], Subhas Abel et al [28], Seedbeck [29], Ali [30], Andersson and Aarseth [31] Chaim [32]) these physical properties may vary with temperature, especially the fluid viscosity and the thermal conductivity. For lubricating fluids heat generated by internal friction and the corresponding rise in the temperature affects the physical properties of the fluid and the properties of the fluid may no longer be assumed as constant.…”

Section: Article In Pressmentioning

confidence: 99%

Mixed convection heat transfer over a non-linear stretching surface with variable fluid properties

Prasad

Vajravelu

Datti

2010

International Journal of Non-Linear Mechanics

Self Cite

View full text Add to dashboard Cite

a b s t r a c tThis article presents a numerical solution for the steady two-dimensional mixed convection MHD flow of an electrically conducting viscous fluid over a vertical stretching sheet, in its own plane. The stretching velocity and the transverse magnetic field are assumed to vary as a power function of the distance from the origin. The temperature dependent fluid properties, namely, the fluid viscosity and the thermal conductivity are assumed to vary, respectively, as an inverse function of the temperature and a linear function of the temperature. A generalized similarity transformation is introduced to study the influence of temperature dependent fluid properties. The transformed boundary layer equations are solved numerically, using a finite difference scheme known as Keller Box method, for several sets of values of the physical parameters, namely, the stretching parameter, the temperature dependent viscosity parameter, the magnetic parameter, the mixed convection parameter, the temperature dependent thermal conductivity parameter and the Prandtl number. The numerical results thus obtained for the flow and heat transfer characteristics reveal many interesting behaviors. These behaviors warrant further study of the effects of the physical parameters on the flow and heat transfer characteristics. Here it may be noted that, in the case of the classical Navier-Stokes fluid flowing past a horizontal stretching sheet, McLeod and Rajagopal (1987) [42] showed that there exist an unique solution to the problem. This may not be true in the present case. Hence we would like to explore the non-uniqueness of the solution and present the findings in the subsequent paper.

show abstract

Section: Article In Pressmentioning

confidence: 99%

Mixed convection heat transfer over a non-linear stretching surface with variable fluid properties

Prasad

Vajravelu

Datti

2010

International Journal of Non-Linear Mechanics

Self Cite

View full text Add to dashboard Cite

show abstract

“…Here,   is the constant fluid density and  is the coefficient of viscosity which is considered to vary as an inverse function of temperature according to Lai and Kulacki [37] as follows: T is the ambient temperature,  T and   are the constant values of the temperature and dynamic viscosity far away from the sheet respectively. This type of fluid variable viscosity has been used by [39,46] and is more appropriate for the present investigation as it is valid for wide temperature range.…”

Section: Governing Equationsmentioning

confidence: 99%

“…However, it is obvious in [36][37][38][39][40] that these physical properties of the ambient fluid may change with temperature and so, the fluid viscosity may no longer be assumed constant. Pantokratoras [41] has presented some results on the variable viscosity of flow and heat transfer to a continuous moving flat plate.…”

Section: Introductionmentioning

confidence: 99%

Heat and Mass Transfer on MHD Viscoelastic Fluid Flow in the Presence of Thermal Diffusion and Chemical Reaction

Popoola¹,

Baoku²,

Olajuwon³

2016

IJHT

View full text Add to dashboard Cite

The paper carries out an analysis on the momentum, heat and mass transfer characteristics in an incompressible magnetohydrodynamic non-Newtonian boundary flow of a viscoelastic fluid over a stretching sheet in the presence of thermal diffusion and chemical reaction. The partial differential equations governing the flow as well as heat and mass transfer features are converted into highly non-linear coupled ordinary differential equations by similarity transformations. The resulting differential equations are solved by using a shooting technique with fifth-order Runge-Kutta-Fehlberg integration scheme. The influence of magnetic interaction, variable thermal conductivity, viscoelastic, variable fluid viscosity, heat source/sink rate of chemical reaction, themal radiation and thermal diffusion parameters as well as Prandtl and Schmidt numbers are analyzed for velocity, temperature and concentration profiles. The wall shear stress, wall temperature and concentration gradients are also investigated for the problem. The fluid viscosity varies as an inverse function of velocity while the thermal conductivity assumes a linear and an inverse function of temperature and concentration respectively. The study shows that the thermal diffusion and thermal radiation parameters have opposite effects on the skin friction coefficient and wall concentration gradient. However, the rate of chemical reaction has similar influence on the skin friction coefficient and wall temperature gradient.

show abstract

“…Ariel (1995), Rajagopal et al (1986) and Rajagopal (1986) also studied viscoelastic fluids in different geometries. It is very necessary to mention the work done by Cortell (2006), Abel et al (2002), Hayat et al (2008) and Sajid et al (2010) on second grade fluids. Anwar et al (2008) investigated the steady mixed convection boundary layer flow of a viscoelastic fluid over a horizontal circular cylinder with constant surface temperature.…”

Section: Introductionmentioning

confidence: 99%

Radiation Effect on Mixed Convection Boundary Layer Flow of a Viscoelastic Fluid over a Horizontal Circular Cylinder with Constant Heat Flux

Ahmad

Javed

Ghaffari

2016

JAFM

View full text Add to dashboard Cite

In the present article, radiation effect on mixed convection boundary layer flow of a viscoelastic fluid over a horizontal circular cylinder with constant heat flux has been numerically analyzed. The governing boundary layer equations are transformed to dimensionless nonlinear partial differential equations. The equations are solved numerically by using Keller-box method. The computed results are in excellent agreement with the previous studies. Skin friction coefficient and Nusselt number are emphasized specifically. These quantities are displayed against the curvature parameter. The effects of pertinent parameters involved in the problem namely effective Prandtl number and mixed convection parameter on skin friction coefficient and Nusselt number are shown through graphs and table. Boundary layer separation points are also calculated with and without radiation and a comparison is shown. The presence of radiation helps to decrease or increase the skin friction coefficient for the negative or positive values of the mixed convection parameter accordingly . The decrease in value of effective Prandtl number helps to increase the value of skin friction coefficient and Nusselt number for viscoelastic fluids.

show abstract

Study of visco-elastic fluid flow and heat transfer over a stretching sheet with variable viscosity

Cited by 132 publications

References 19 publications

Mixed convection heat transfer over a non-linear stretching surface with variable fluid properties

Mixed convection heat transfer over a non-linear stretching surface with variable fluid properties

Heat and Mass Transfer on MHD Viscoelastic Fluid Flow in the Presence of Thermal Diffusion and Chemical Reaction

Radiation Effect on Mixed Convection Boundary Layer Flow of a Viscoelastic Fluid over a Horizontal Circular Cylinder with Constant Heat Flux

Contact Info

Product

Resources

About