scholarly journals Effect of Radiation on Free Convection Flow of Non-Newtonian Power-Law Fluids Along a Power-Law Stretching Sheet

2013 ◽  
Vol 61 (1) ◽  
pp. 97-104
Author(s):  
MA Samad ◽  
MR Hossain ◽  
D Kumar
Keyword(s):  
Differential Equations ◽  
Free Convection ◽  
Power Law ◽  
Stretching Sheet ◽  
Nonlinear Partial Differential Equations ◽  
Convection Heat Transfer ◽  
Simultaneous Action ◽  
Integration Scheme ◽  
Convection Flow ◽  
Power Law Fluids

An analysis is carried out to investigate the effects of MHD free convection heat transfer of power-law non-Newtonian fluids along a stretching sheet. This has been done under the simultaneous action of suction, thermal radiation and uniform transverse magnetic field. 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 transformations. The resulting non-linear equations are solved numerically using Nachtsheim-Swigert shooting iterative technique along with sixth order Runge-Kutta integration scheme. Numerical results for the non-dimensional velocity and temperature profiles are shown graphically and discussed. The effects of skin-friction coefficient and the local Nusselt number which are of physical and engineering interest are studied and presented in the form of tables for the variation of different physically important parameters. A comparison of the present study is also performed with the previously published work and found excellent agreement. Dhaka Univ. J. Sci. 61(1): 97-104, 2013 (January) DOI: http://dx.doi.org/10.3329/dujs.v61i1.15104

scholarly journals Conjugate Effects of Radiation Flux on Double Diffusive MHD Free Convection Flow of a Nanofluid over a Power Law Stretching Sheet

2012 ◽  
Vol 2012 ◽  
pp. 1-7 ◽  
Author(s):  
Muhammad Imran Anwar ◽  
Sharidan Shafie ◽  
Ilyas Khan ◽  
Mohd Zuki Salleh
Keyword(s):  
Magnetic Field ◽  
Free Convection ◽  
Power Law ◽  
Radiation Flux ◽  
Stretching Sheet ◽  
Nonlinear Partial Differential Equations ◽  
Convection Flow ◽  
Convection Boundary Layer ◽  
Buoyancy Parameter ◽  
Effects Of Radiation

This study theoretically investigates the conjugate effects of radiation flux and magnetohydrodynamic (MHD) on free convection boundary layer flow of a nanofluid over a nonlinear stretching sheet. It is assumed that the magnetic Reynolds number is small enough and the sheet is stretched with a power law velocity under the effects of the magnetic field, the buoyancy parameter, and the solutal buoyancy parameter. The model used for the nanofluid incorporates the effects of Rosseland approximation, Brownian motion, and thermophoresis parameters. By using appropriate similarity transformations, the governing nonlinear partial differential equations are transformed into dimensionless form and numerically solved using an implicit finite difference scheme known as the Keller-box method. It is found that the variations of magnetic field, buoyancy parameter, solutal buoyancy parameter, and the power law velocity parameter have strong influence on the motion.

scholarly journals Radiation effect on MHD free-convection flow of a gas at a stretching surface with a uniform free stream

2002 ◽  
Vol 2 (2) ◽  
pp. 93-103 ◽  
Author(s):  
Ahmed Y. Ghaly ◽  
Elsayed M. E. Elbarbary
Keyword(s):  
Magnetic Field ◽  
Free Convection ◽  
Convection Heat Transfer ◽  
Relative Difference ◽  
Transverse Magnetic ◽  
Simultaneous Action ◽  
Convection Flow ◽  
Flow Parameters ◽  
Free Convection Heat ◽  
Convection Parameter

We investigate the problem of free convection heat transfer near an isothermal stretching sheet. This has been done under the simultaneous action of buoyancy, radiation, and transverse magnetic field. The governing equations are solved by the shooting method. The velocity and temperature functions are represented graphically for various values of the flow parameters: radiation parameterF, free convection parameterGr, magnetic parameterM, Prandtl numberPr, and the parameter of relative difference between the temperature of the sheet, and the temperature far away from the sheetr. The effects of the radiation and magnetic field parameters on the shear stress and heat flux are discussed.

Magnetohydrodynamics Thermocapillary Marangoni Convection Heat Transfer of Power-Law Fluids Driven by Temperature Gradient

2013 ◽  
Vol 135 (5) ◽  
Author(s):  
Yanhai Lin ◽  
Liancun Zheng ◽  
Xinxin Zhang
Keyword(s):  
Heat Transfer ◽  
Temperature Gradient ◽  
Differential Equations ◽  
Power Law ◽  
Numerical Solutions ◽  
Marangoni Convection ◽  
Convection Heat Transfer ◽  
Temperature Fields ◽  
Convection Heat ◽  
Power Law Fluids

This paper presents an investigation for magnetohydrodynamics (MHD) thermocapillary Marangoni convection heat transfer of an electrically conducting power-law fluid driven by temperature gradient. The surface tension is assumed to vary linearly with temperature and the effects of power-law viscosity on temperature fields are taken into account by modified Fourier law for power-law fluids (proposed by Pop). The governing partial differential equations are converted into ordinary differential equations and numerical solutions are presented. The effects of the Hartmann number, the power-law index and the Marangoni number on the velocity and temperature fields are discussed and analyzed in detail.

scholarly journals MHD free convection flow of Casson fluid over a permeable nonlinearly stretching sheet with chemical reaction

2017 ◽  
Vol 13 (3) ◽  
Author(s):  
Imran Ullah ◽  
Sharidan Shafie ◽  
Ilyas Khan
Keyword(s):  
Differential Equations ◽  
Free Convection ◽  
Chemical Reaction ◽  
Stretching Sheet ◽  
Fluid Velocity ◽  
Casson Fluid ◽  
Convection Flow ◽  
Free Convection Flow ◽  
Grashof Number ◽  
Keller Box Method

The problem of heat and mass transfer free convection flow of Casson fluid over a porous nonlinear stretching sheet in the presence of chemical reaction is investigated. Moreover the effect of magnetic field is also considered. The governing partial differential equations are transformed into ordinary differential equations by making use of suitable transformations and then solved numerically via Keller-box method. The results for skin friction are compared with previous results of the existing literature. The results are also reflected in good agreement. It is noted that concentration of Casson fluid reduces rapidly by increasing Schmidt number and chemical parameter. Also, thermal Grashof number and mass Grashof number enhance the momentum boundary layer thickness, whereas increment in chemical reaction parameter reduces the heat transfer rate. Moreover, both the fluid velocity and wall shear stress are observed to be decreased with increment in suction/blowing parameter.

scholarly journals Combined Effects of Viscous Dissipation and Thermal Radiation on non-Newtonian FluidAlong a Surface with Heat Generation and Uniform Surface Heat Flux

2015 ◽  
Vol 63 (2) ◽  
pp. 97-104 ◽  
Author(s):  
D R Pal ◽  
MA Samad
Keyword(s):  
Mass Transfer ◽  
Differential Equations ◽  
Thermal Radiation ◽  
Viscous Dissipation ◽  
Heat Generation ◽  
Simultaneous Action ◽  
Integration Scheme ◽  
Radiation Heat ◽  
Power Law Fluids ◽  
Non Linear

The paper analyses the effects of Magneto-hydrodynamic (MHD) free convective heat and mass transfer flow on non-Newtonian power law fluids along a continuously moving stretching sheet with radiation, heat generation and viscous dissipation under the simultaneous action of suction, thermal radiation, heat source, uniform transverse magnetic field and viscous dissipation. The governing non-linear partial differential equations describing the flow fields under consideration are transformed into non-linear ordinary differential equations by using appropriate analysis of similarity and then solved the resulting problem numerically by applying Nachtsheim-Swigert shooting iterative technique along with sixth order Runge-Kutta integration scheme. The computational results of the skin friction coefficient (Cf) the rate of heat transfer namely the local Nusselt number (Nux) and the mass transfer coefficient namely the local Sherwood number (Shx) have also been presented in tabular form. In the present study, a comparison has also been done with a published article and found a good agreement.Dhaka Univ. J. Sci. 63(2):97-104, 2015 (July)

Similarity Solution for Unsteady Free Convection From a Vertical Plate at Constant Temperature to Power Law Fluids

2012 ◽  
Vol 134 (10) ◽  
Author(s):  
J. Abolfazli Esfahani ◽  
B. Bagherian
Keyword(s):  
Boundary Layer ◽  
Differential Equations ◽  
Free Convection ◽  
Boundary Conditions ◽  
Ordinary Differential Equations ◽  
Power Law ◽  
Thermal Boundary Layer ◽  
Theoretic Approach ◽  
Local Skin ◽  
Power Law Fluids

The transformation group theoretic approach is applied to perform an analysis of unsteady free convection flow over a vertical flat plate immersed in a power law fluid. The thermal boundary layer induced within a vertical semi-infinite layer of Boussinseq fluid. The system of governing partial differential equations with boundary conditions reduces to a system of ordinary differential equations with appropriate boundary conditions via two-parameter group theory. The obtained ordinary differential equations are solved numerically for velocity and temperature using the fourth order Runge-Kutta and shooting method. The effect of Prandtl number and viscosity index (n) on the thermal boundary-layer, velocity boundary-layer, local Nusselt number, and local skin-friction were studied.

MHD combined convection flow of a non-Newtonian power-law fluid due to a rotating cone or disk

2004 ◽  
Vol 82 (7) ◽  
pp. 531-540 ◽  
Author(s):  
E M Abo-Eldahab ◽  
A M Salem
Keyword(s):  
Differential Equations ◽  
Power Law ◽  
Shooting Method ◽  
Magnetic Reynolds Number ◽  
Convection Flow ◽  
Temperature Profiles ◽  
Power Law Fluid ◽  
Similarity Transformations ◽  
Laminar Mixed Convection ◽  
Power Law Fluids

The problem of laminar mixed convection flow of non-Newtonian power-law fluids from a constantly rotating isothermal cone or disk in the presence of a uniform magnetic field is investigated in this paper. The effect of Joule heating is also considered. The governing partial-differential equations are transformed into ordinary differential equations using similarity transformations. The transformed equations, on the assumption of a small magnetic Reynolds number, are solved numerically by employing the shooting method. Graphical results for the velocity and temperature profiles as well as tabulated results for the skin friction and the Nusselt number for various parametric conditions are presented and discussed. PACS No.: 47.50.td

Mixed Convection Heat Transfer to Power Law Fluids in Arbitrary Cross-Sectional Ducts

1989 ◽  
Vol 111 (2) ◽  
pp. 399-406 ◽  
Author(s):  
A. Lawal
Keyword(s):  
Heat Transfer ◽  
Pressure Drop ◽  
Mixed Convection ◽  
Power Law ◽  
Convection Heat Transfer ◽  
Local Heat Transfer ◽  
Convection Flow ◽  
Transfer Coefficients ◽  
Cross Sectional ◽  
Power Law Fluids

An analytical investigation of three-dimensional mixed convection flow and heat transfer to power-law fluids in horizontal arbitrary cross-sectional ducts is undertaken. The continuity equation and parabolic forms of the energy and momentum equations in rectangular coordinates are transformed into new orthogonal coordinates with the boundaries of the duct coinciding with the coordinate surfaces. The transformed equations are solved by the finite difference technique. The fluid enters the duct with constant velocity and temperature profiles with the wall of the duct subjected to constant temperature. Local heat transfer coefficients and pressure drop for several values of Gr/Re and power-law index n are computed for the triangular, square, trapezoidal, pentagonal, and circular ducts. The buoyancy force is found to increase both the Nusselt number and the pressure drop.

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