scholarly journals Influence of Slip Condition on Unsteady Free Convection Flow of Viscous Fluid with Ramped Wall Temperature

2015 ◽  
Vol 2015 ◽  
pp. 1-7 ◽  
Author(s):  
Sami Ul Haq ◽  
Ilyas Khan ◽  
Farhad Ali ◽  
Arshad Khan ◽  
Tarek Nabil Ahmed Abdelhameed
Keyword(s):  
Heat Transfer ◽  
Free Convection ◽  
Viscous Fluid ◽  
Wall Temperature ◽  
Wall Slip ◽  
Slip Condition ◽  
Convection Flow ◽  
Slip Parameter ◽  
Free Convection Flow ◽  
Laplace Transform Technique

The objective of this study is to explore the influence of wall slip condition on a free convection flow of an incompressible viscous fluid with heat transfer and ramped wall temperature. Exact solution of the problem is obtained by using Laplace transform technique. Graphical results to see the effects of Prandtl number Pr, timet, and slip parameterηon velocity and skin friction for the case of ramped and constant temperature of the plate are provided and discussed.

scholarly journals Influence of Thermal Radiation on Unsteady MHD Free Convection Flow of Jeffrey Fluid over a Vertical Plate with Ramped Wall Temperature

2016 ◽  
Vol 2016 ◽  
pp. 1-12 ◽  
Author(s):  
Nor Athirah Mohd Zin ◽  
Ilyas Khan ◽  
Sharidan Shafie
Keyword(s):  
Free Convection ◽  
Thermal Radiation ◽  
Wall Temperature ◽  
Vertical Plate ◽  
Convection Flow ◽  
Jeffrey Fluid ◽  
Dimensionless Time ◽  
Free Convection Flow ◽  
Laplace Transform Technique ◽  
The Laplace Transform

Influence of thermal radiation on unsteady magnetohydrodynamic (MHD) free convection flow of Jeffrey fluid over a vertical plate with ramped wall temperature is studied. The Laplace transform technique is used to obtain the analytical solutions. Expressions for skin friction and Nusselt number are also obtained. Results of velocity and temperature distributions are shown graphically for embedded parameters such as Jeffrey fluid parameterλ, Prandtl numberPr, Grashof numberGr, Hartmann numberHa, radiation parameterRd, and dimensionless timeτ. It is observed that the amplitude of velocity and temperature profile for isothermal are always higher than ramped wall temperature.

Magnetohydrodynamics Free Convection Flow of a Radiating and Chemically Reacting Fluid Past an Impulsively Moving Plate With Ramped Wall Temperature

2012 ◽  
Vol 79 (6) ◽  
Author(s):  
Kalidas Das
Keyword(s):  
Mass Transfer ◽  
Free Convection ◽  
Chemical Reaction ◽  
Wall Temperature ◽  
Fluid Velocity ◽  
Convection Flow ◽  
Free Convection Flow ◽  
Moving Plate ◽  
Laplace Transform Technique ◽  
Chemically Reacting

In the present study, the effects of radiation and chemical reaction on unsteady free convection flow and mass transfer of a viscous, electrically conducting incompressible fluid near an impulsively moving vertical flat plate with ramped wall temperature is studied. The primary purpose of this study is to characterize the effects of ramped wall temperature, radiation parameter, chemical reaction parameter, Schmidt number etc., on the flow properties. Exact solutions of the present problem are obtained in closed form by Laplace transform technique. The variations in fluid velocity, temperature and concentration are shown graphically whereas numerical values of skin friction, rate of heat and mass transfer are presented in tabular form to observe the effects of various parameters.

Heat Transfer in Eccentric-Concentric Rotation of a Disk and Fluid at Infinity

2016 ◽  
Vol 13 (10) ◽  
pp. 6482-6487
Author(s):  
Ilyas Khan ◽  
Tarek Nabil Ahmed Abdelhameed ◽  
L. C. C Dennis
Keyword(s):  
Heat Transfer ◽  
Free Convection ◽  
Strong Influence ◽  
Fluid Velocity ◽  
Convection Flow ◽  
Dimensionless Time ◽  
Free Convection Flow ◽  
Laplace Transform Technique ◽  
The Laplace Transform ◽  
Convection Parameter

Heat transfer due to free convection flow in eccentric-concentric rotation of a disk and fluid at infinity is studied in this work Exact solutions for velocity and temperature are obtained by using the Laplace transform technique. The performed calculations disclose that the free convection parameter, Prandtl number, radiation parameter, and dimensionless time have strong influence on fluid velocity and temperature. The graphs are presented for such influence and examined carefully.

Transient free convection flow due to the arbitrary motion of a vertical plate

1970 ◽  
Vol 67 (3) ◽  
pp. 677-688
Author(s):  
P. C. Sinha ◽  
Punyatma Singh
Keyword(s):  
Heat Transfer ◽  
Free Convection ◽  
Vertical Plate ◽  
Fluid Velocity ◽  
Temperature Fields ◽  
Convection Flow ◽  
Free Convection Flow ◽  
Laplace Transform Technique ◽  
The Laplace Transform ◽  
Layer Flow

The paper deals with the free convection flow along a vertical plate moving arbitrarily in its own plane. The basic equations of the boundary-layer flow and heat transfer are linearized and the first two approximations are considered. The first approximation is the case of steady-state free convection flow while the second approximation is the response of the fluid velocity and temperature fields to the motion of the plate for which limiting solutions are obtained by the Laplace transform technique in two regions; namely, for large times and for small times. The particular case when the plate is given an impulsive start at t = 0 is investigated in detail. It is shown how the skin friction and the rate of heat transfer at the plate respond to the motion of the plate.

Numerical Investigation of Unsteady Multiphase Nanofluid-Free Convection Flow About a Vertical Cylinder With Non-Uniform Temperature

2019 ◽  
Vol 12 (3) ◽  
Author(s):  
Marneni Narahari ◽  
S. Suresh Kumar Raju ◽  
Rajashekhar Pendyala ◽  
Suhaib Umer Ilyas
Keyword(s):  
Heat Transfer ◽  
Free Convection ◽  
Surface Temperature ◽  
Numerical Investigation ◽  
Power Law ◽  
Wall Temperature ◽  
Vertical Cylinder ◽  
Convection Flow ◽  
Free Convection Flow ◽  
Power Law Exponent

Abstract A numerical investigation on the transient-free convection flow of the multiphase nanofluid past a vertical cylinder, which has a power-law variation surface temperature along with the height, is presented. The problem has typical engineering applications involving cooling of vertical cylindrical rods in mechanical/manufacturing systems, cooling of nuclear reactors, and the design of other advanced cooling technologies. Buongiorno’s model is applied in this research, which incorporates thermophoresis and Brownian diffusion effects of nanoparticles. The zero-volume flux condition is implemented for nanoparticle concentration at the boundary to obtain realistic results. A robust second-order accurate finite-difference scheme of Crank–Nicolson type is applied to tackle the system of coupled non-linear partial differential equations numerically. The impacts of time, variable surface temperature power-law exponent, Brownian and thermophoresis parameters are investigated on nanofluid flow and heat transfer aspects. The decisive finding suggests that the effect of the power-law exponent of the variable wall temperature is to reduce the nanoparticle relocation, velocity, and temperature in the nanofluid boundary layer causing the heat transfer enhancement. The skin-friction decreased significantly with the rise of the power-law exponent of the wall temperature. The present numerical scheme is corroborated by comparing the average skin-friction results with the available literature for clear fluid.

scholarly journals Free convection flow of power law fluid in a vertical cylinder of finite height

1995 ◽  
Vol 17 (2) ◽  
pp. 34-39
Author(s):  
Nguyen Van Que
Keyword(s):  
Heat Transfer ◽  
Free Convection ◽  
Power Law ◽  
Average Velocity ◽  
Vertical Cylinder ◽  
Convection Flow ◽  
Power Law Fluid ◽  
Free Convection Flow ◽  
Finite Height ◽  
Good Agreement

A numerical solution has been presented for free convection flow of power law fluid in a vertical cylinder of finite height. The average velocity along the channel and the heat transfer have been calculated. Graphs of velocities and temperature are shown. The results show good agreement with analytic one in the asymptotic case.

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