Heat Transfer in a Micropolar Fluid along a Non-linear Stretching Sheet with a Temperature-Dependent Viscosity and Variable Surface Temperature

Rahman, M. Shafiur; Rahman, Mohammad Masudur; Samad, Md. Abdus; Alam, M. S.

doi:10.1007/s10765-009-0656-5

Cited by 70 publications

(37 citation statements)

References 48 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Since as the viscosity and thermal conductivity varies across the boundary layer, the Prandtl number also varies. The assumption of constant Prandtl number inside the boundary layer may produce unrealistic results (see Pantokratoras, 2005Pantokratoras, & 2007Rahman et al, 2009;Rahman and Eltayeb, 2011;Alam et al, 2014). Therefore the Prandtl number related to the variable viscosity and variable thermal conductivity is defined by…”

Section: Variation Of Prandtl Numbermentioning

confidence: 99%

“…Equation (20) is the corrected non-dimensional form of the energy equation in which Prandtl number is treated as variable (see also Rahman et al, 2009;Rahman and Eltayeb, 2011;Alam et al, 2014).…”

Section: Variation Of Prandtl Numbermentioning

confidence: 99%

“…Pantokratoras (2005) investigated some new results on forced and mixed convection boundary layer flow along a flat plate with variable viscosity and variable Prandtl number while Pantokratoras (2007) further studied non-Darcian forced convection heat transfer over a flat plate in a porous medium with variable viscosity and variable Prandtl number. Recently, Rahman and his co-workers (Rahman et al, 2009;Rahman and Salauddin, 2010;Rahman, 2010;Rahman and Eltayeb, 2011;Alam et al, 2014) have studied several thermal boundary layer problems taking into account the variability of viscosity for both Newtonian and Non-Newtonian fluids in different geometry with various flow conditions. All of these studies confirmed that for the accurate prediction of the thermal characteristics of variable viscosity, the Prandtl number must be treated as a variable rather than a constant.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Transient Hydromagnetic Forced Convective Heat Transfer Slip Flow Due to a Porous Rotating Disk with Variable Fluid Properties

Alam

Poddar²,

Rahman³

et al. 2015

AJHMT

View full text Add to dashboard Cite

In this paper we have studied the problem of an unsteady hydromagnetic forced convective heat transfer slip flow over a porous rotating disk taking into account the temperature dependent density, viscosity and thermal conductivity. The governing non-linear partial differential equations of the flow are transformed into a set of non-linear ordinary differential equations using similarity transformations. The resulting nondimensional equations have been solved numerically by applying Nachtsheim-Swigert shooting iteration technique along with sixth-order Runge-Kutta iteration scheme. Comparison with previously published work for the steady case of the problem is performed and the results are found to be in very good agreement. The results of the numerical solution are presented graphically in the form of velocity (i.e. radial, tangential as well as inward axial), temperature profiles and variable Prandtl number for various values of the model parameters. The corresponding skin friction coefficients (i.e. radial and tangential) and the rate of heat transfer coefficient (i.e. Nusselt number) are also calculated and tabulated. The obtained numerical results show that when modeling a thermal boundary layer with temperature dependent fluid properties, consideration of Prandtl number as constant within the boundary layer produces unrealistic results. Therefore, it must be treated as variable throughout the boundary layer. Results also show that the slip factor significantly controls the flow and heat transfer characteristics.

show abstract

Section: Variation Of Prandtl Numbermentioning

confidence: 99%

Section: Variation Of Prandtl Numbermentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Transient Hydromagnetic Forced Convective Heat Transfer Slip Flow Due to a Porous Rotating Disk with Variable Fluid Properties

Alam

Poddar²,

Rahman³

et al. 2015

AJHMT

View full text Add to dashboard Cite

show abstract

“…Yasin et al 22 Dissipation of compact spirals owing to molecular viscosity close to the wall is coherent in the nonNewtonian Casson fluid flow over greater flat thermally stratified dissolving plane of a uprising paraboloid. Numerical investigations of micro-polar fluid flow over a nonlinear stretching sheet have amplified the body of cognizance on fluid flow, boundary layer analysis, and heat and mass transfer taking into account the effects of a temperature dependent viscosity 27 , MHD in the presence of Cattaneo-Christov heat flux 28 , thermo electromagnetic flow of a viscous fluid in 3D domain 29 , flow within boundary layer over an exponentially stretching surface embedded in a thermally stratified medium 30 , electrically conducting laminar fluid flow under MHD phenomenon 31 and steady natural convection flow in vertical annular micro-channel having viscosity in presence of velocity slip and temperature jump at the annular micro-channel surfaces 32 . In the recent research, Alam et al 33 concluded that thermal boundary layer would decrease with an increasing temperature dependent viscosity.…”

Section: Introductionmentioning

confidence: 99%

Unsteady Casson Fluid Flow over Stretching Sheet through Porous Medium with Heat Generation and Viscous Dissipation

Rao¹,

Prasad²,

Senthil³

et al. 2017

jusps-B

View full text Add to dashboard Cite

In this paper, an unsteady magnetohydrodynamic (MHD) natural convection heat transfer flow of electrically conductive non-Newtonian Casson fluid over a stretching sheet through vertical porous plate with an influence of heat generation and viscous dissipation is investigated. Similarity transformations are employed to transform the governing partial differential equations into ordinary differential equations. The transformed equations are then solved numerically by Runge-Kutta and shooting methods. The heat flow characteristics for different values of the parameters namely Casson fluid parameter, unsteadiness parameter, Eckert number, heat generation parameter, permeability porous parameter and Prandtl number are studied and discussed in detail. The increase of permeability porous parameter reduces the velocity field and enhances the fluid temperature. The heat generation source leads to an increase in thermal boundary layer thickness. The higher viscous dissipative heat causes an increase in the fluid temperature.

show abstract

“…Erickson et al (1966) studied heat and mass transfer on a moving continuously moving surface. Rahman et al (2008) investigated MHD forced convective flow of a micropolar fluid past a non-linear stretching sheet with a variable viscosity and Rahman et al (2009) analyzed heat transfer in a micropolar fluid along a non-linear stretching sheet with a temperature-dependent viscosity and variable surface temperature. The magnetohydrodynamic boundary layer on a flat plate has been studied by Glauert (1961).…”

Section: Introductionmentioning

confidence: 99%

Effects of viscous dissipation and thermal radiation on MHD forced convective heat and mass transfer flow of non-Newtonian power law fluid with heat generation

Samad

Podder

2016

Bangladesh J. Sci. Res.

View full text Add to dashboard Cite

An analysis is carried out to investigate the effects of forced convection heat and mass transfer of an electrically conducting, non-Newtonian power-law fluid past a stretching sheet. This has been done under the simultaneous action of suction, radiation, uniform transverse magnetic field, heat generation and viscous dissipation. The stretching sheet is assumed to continuously moving with a power-law velocity and maintaining a uniform surface heat flux. The governing nonlinear partial differential equations are transformed into a system of nonlinear ordinary differential equations using appropriate similarity transfor-mations. The resulting dimensionless equations are solved numerically using sixth order Runge-Kutta integration scheme with Nachtsheim-Swigert shooting iterative technique. A systematical study of numerical results for the non-dimensional velocity, temperature and concentration profiles are presented graphically. Due to physical and engineering interest, the viscous drag or local Skin-friction coefficient, heat transfer rate or local Nusselt number and mass transfer rate or local Sherwood number are represented in tabular form to illustrate the details of flow characteristics and their dependence on all physically important parameters of different non-Newtonian fluids. A comparison of the present study and previously published paper has also been shown in tabular form.

show abstract

Heat Transfer in a Micropolar Fluid along a Non-linear Stretching Sheet with a Temperature-Dependent Viscosity and Variable Surface Temperature

Cited by 70 publications

References 48 publications

Transient Hydromagnetic Forced Convective Heat Transfer Slip Flow Due to a Porous Rotating Disk with Variable Fluid Properties

Transient Hydromagnetic Forced Convective Heat Transfer Slip Flow Due to a Porous Rotating Disk with Variable Fluid Properties

Unsteady Casson Fluid Flow over Stretching Sheet through Porous Medium with Heat Generation and Viscous Dissipation

Effects of viscous dissipation and thermal radiation on MHD forced convective heat and mass transfer flow of non-Newtonian power law fluid with heat generation

Contact Info

Product

Resources

About