Heat transfer in a visco-elastic fluid past a stretching sheet with viscous dissipation and internal heat generation

Veena, P. H.; Abel, S.; Rajagopal, K. R.; Pravin, V. K.

doi:10.1007/s00033-005-0016-7

Cited by 13 publications

(5 citation statements)

References 15 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The so-called stretching surface flow problem has been studied for variety of assumptions pertaining to surface velocity (linear/power law) and surface temperature (constant/variable)/ temperature flux for the simple reason that optimal quality of desired component squarely depends on the shear and heat transfer rate at the sheet. The problem has also been discussed for non-Newtonian fluid, Ferro-fluid and micropolar fluid and also by incorporating physical features like suction/injection, MHD, chemical reaction, and so forth [2][3][4][5][6][7][8][9]. Recently, Liao [10,11] discovered multiple solutions for the flow over both impermeable and permeable stretching sheets.…”

Section: Introductionmentioning

confidence: 99%

Radiative Boundary Layer Flow in Porous Medium due to Exponentially Shrinking Permeable Sheet

Vyas

Srivastava

2012

ISRN Thermodynamics

View full text Add to dashboard Cite

This communication pertains to the study of radiative heat transfer in boundary layer flow over an exponentially shrinking permeable sheet placed at the bottom of fluid saturated porous medium. The porous medium has permeability of specified form. The fluid considered here is Newtonian, without phase change, optically dense, absorbing-emitting radiation but a nonscattering medium. The setup is subjected to suction to contain the vorticity in the boundary layer. The radiative heat flux in the energy equation is accounted by Rosseland approximation. The thermal conductivity is presumed to vary with temperature in a linear fashion. The governing partial differential equations are reduced to ordinary differential equations by similarity transformations. The resulting system of nonlinear ordinary differential equations is solved numerically by fourth-order Runge-Kutta scheme together with shooting method. The pertinent findings displayed through figures and tables are discussed.

show abstract

Section: Introductionmentioning

confidence: 99%

Radiative Boundary Layer Flow in Porous Medium due to Exponentially Shrinking Permeable Sheet

Vyas

Srivastava

2012

ISRN Thermodynamics

View full text Add to dashboard Cite

show abstract

“…(ii) Problems dealing with chemical reactions.The heat transfer in a visco -elastic fluid past a stretching sheet with viscous dissipation and internal heat generation have been studied by Veena et.al. [10] and the flow of visco elastic fluid obeying Walter's liquid B' model past a stretching sheet with and without suction have been analysed by Abel [11,12] and also attempted an exact solution of the boundary layer equation of motion.Similar solutions of laminar boundary layer equations describing the study of two-dimensional flow and heat transfer in an electrically conducting and heat generating fluid driven by a continuous moving porous surface immersed in a fluid saturated porous medium has been investigated Ali Chamkha [13]. A space dependent exponentially decaying heat generation or absorption is considered on flow and heat transfer past a vertical plate by [14][15].The effect of suction and blowing on the heat transfer problem in the presence of the porous media is reported by a smaller number of researchers.…”

Section: Introductionmentioning

confidence: 99%

Non-Newtonian Flow with Heat and Mass Transfer Over a Porous Stretching Sheet Under the Effects of Space Dependent and TGD Heat Sink, Non-Uniform Heat Source and Dissipation of Energy and CGD Mass Diffusion with Suction/Blowing

P H Veena

2023

tjjpt

View full text Add to dashboard Cite

In the present paper, an analytical study of visco - elastic fluid flow with heat and mass transfer characteristics over a porous stretching sheet has been examined. Heat balance is maintained with space dependent and temperature gradient dependent heat sink/source, viscous dissipation, and non-uniform heat source on the non-Newtonian Walter’s liquid B' model. The mass balance is maintained with chemically reactive species of order I, variable mass diffusivity and concentration gradient dependent mass diffusion. Using similarity transformation technique on the highly non-linear differential equations, several closed form analytical solutions are obtained for non-dimensional temperature and concentration in both PST and PHF cases in the form of confluent hypergeometric (Kummar’s) functions. The effect of permeability parameter, viscoelastic parameter, suction parameter on velocity profiles and various physical fluid situations with different degrees of viscoelasticity, Prandtl number, Eckert number, heat source- sink strength, temperature field are discussed in detail and presented through graphs. Similarly in the mass transfer field the effects of Schmidt number, reaction rate parameters are discussed in detail and presented through graphs.

show abstract

“…The unsteady natural convection flow of a viscous and incompressible fluid through a porous medium with high porosity by a stationary plate in the presence of radiation was investigated by Raptis and Perdikis (2004). The effects of the viscous dissipation of a viscoelastic fluid over a stretching sheet have been studied by Veena et al (2006).…”

Section: Introductionmentioning

confidence: 99%

MHD slip flow and convective heat transfer due to a moving plate with effects of variable viscosity and thermal conductivity

Nandeppanavar¹,

Kemparaju²,

Madhusudhan³

et al. 2020

MMMS

View full text Add to dashboard Cite

PurposeThe steady two-dimensional laminar boundary layer flow, heat and mass transfer over a flat plate with convective surface heat flux was considered. The governing nonlinear partial differential equations were transformed into a system of nonlinear ordinary differential equations and then solved numerically by Runge–Kutta method with the most efficient shooting technique. Then, the effect of variable viscosity and variable thermal conductivity on the fluid flow with thermal radiation effects and viscous dissipation was studied. Velocity, temperature and concentration profiles respectively were plotted for various values of pertinent parameters. It was found that the momentum slip acts as a boost for enhancement of the velocity profile in the boundary layer region, whereas temperature and concentration profiles decelerate with the momentum slip.Design/methodology/approachNumerical Solution is applied to find the solution of the boundary value problem.FindingsVelocity, heat transfer analysis is done with comparing earlier results for some standard cases.Originality/value100

show abstract

Heat transfer in a visco-elastic fluid past a stretching sheet with viscous dissipation and internal heat generation

Cited by 13 publications

References 15 publications

Radiative Boundary Layer Flow in Porous Medium due to Exponentially Shrinking Permeable Sheet

Radiative Boundary Layer Flow in Porous Medium due to Exponentially Shrinking Permeable Sheet

Non-Newtonian Flow with Heat and Mass Transfer Over a Porous Stretching Sheet Under the Effects of Space Dependent and TGD Heat Sink, Non-Uniform Heat Source and Dissipation of Energy and CGD Mass Diffusion with Suction/Blowing

MHD slip flow and convective heat transfer due to a moving plate with effects of variable viscosity and thermal conductivity

Contact Info

Product

Resources

About