Numerical Solutions of Dissipative Natural Convective Flow from a Vertical Cone with Heat Absorption, Generation, MHD and Radiated Surface Heat Flux

2019 ◽  
Vol 5 (1) ◽  
Author(s):  
R. M. Kannan ◽  
Bapuji Pullepu ◽  
Sabir Ali Shehzad
Keyword(s):  
Heat Flux ◽  
Surface Heat Flux ◽  
Convective Flow ◽  
Numerical Solutions ◽  
Surface Heat ◽  
Heat Absorption ◽  
Vertical Cone

scholarly journals Unsteady Laminar Free Convection from a Vertical Cone with Uniform Surface Heat Flux

2008 ◽  
Vol 13 (1) ◽  
pp. 47-60 ◽  
Author(s):  
Bapuji Pullepu ◽  
K. Ekambavanan ◽  
A. J. Chamkha
Keyword(s):  
Heat Flux ◽  
Free Convection ◽  
Surface Heat Flux ◽  
Numerical Solutions ◽  
Surface Heat ◽  
Temperature Fields ◽  
Vertical Cone ◽  
Linear Partial Differential Equations ◽  
Average Skin ◽  
Good Agreement

Numerical solutions of, unsteady laminar free convection from an incompressible viscous fluid past a vertical cone with uniform surface heat flux is presented in this paper. The dimensionless governing equations of the flow that are unsteady, coupled and non-linear partial differential equations are solved by an efficient, accurate and unconditionally stable finite difference scheme of Crank-Nicolson type. The velocity and temperature fields have been studied for various parameters Prandtl number and semi vertical angle. The local as well as average skin-friction and Nusselt number are also presented and analyzed graphically. The present results are compared with available results in literature and are found to be in good agreement.

scholarly journals Convective Flow Of Micropolar Fluids Along An Inclined Flat Plate With Variable Electric Conductivity And Uniform Surface Heat Flux

1970 ◽  
Vol 6 (1) ◽  
pp. 69-79 ◽  
Author(s):  
Md Jashim Uddin
Keyword(s):  
Heat Transfer ◽  
Boundary Layer ◽  
Heat Flux ◽  
Differential Equations ◽  
Flat Plate ◽  
Electric Conductivity ◽  
Surface Heat Flux ◽  
Convective Flow ◽  
Surface Heat ◽  
Micropolar Fluids

Magnetohydrodynamic (MHD) twodimensional steady convective flow and heat transfer of micropolar fluids flow along an inclined flat plate with variable electric conductivity and uniform surface heat flux has been analyzed numerically in the presence of heat generation. With appropriate transformations the boundary layer partial differential equations are transformed into nonlinear ordinary differential equations. The local similarity solutions of the transformed dimensionless equations for the velocity flow, microrotation and heat transfer characteristics are assessed using Nachtsheim- Swigert shooting iteration technique along with the sixth order Runge-Kutta-Butcher initial value solver. Numerical results are presented graphically in the form of velocity, microrotation, and temperature profiles within the boundary layer for different parameters entering into the analysis. The effects of the pertinent parameters on the local skin-friction coefficient (viscous drag), plate couple stress and the rate of heat transfer (Nusselt number) are also discussed and displayed graphically. Keywords: Convective flow; Micropolar fluid; Heat transfer; Electric conductivity; Inclined plate; Locally self-similar solution DOI: http://dx.doi.org/10.3329/diujst.v6i1.9336 DIUJST 2011; 6(1): 69-79

scholarly journals A note on the free convection boundary layer on a vertical surface with prescribed heat flux at small Prandtl number

1992 ◽  
Vol 15 (3) ◽  
pp. 605-608
Author(s):  
J. H. Merkin ◽  
V. Kumaran
Keyword(s):  
Boundary Layer ◽  
Heat Flux ◽  
Prandtl Number ◽  
Surface Heat Flux ◽  
Numerical Solutions ◽  
Vertical Surface ◽  
Surface Heat ◽  
Convection Boundary Layer ◽  
Convection Boundary ◽  
Free Convection Boundary Layer

It is shown that for a particular case of the surface heat flux the equations for small Prandtl number have simple analytical solutions. These are presented and compared with numerical solutions of the general equations.

Determination of Surface Heat Flux in Quenching

1999 ◽  
Author(s):  
M. K. Alam ◽  
H. Pasic ◽  
K. Anagurthi ◽  
R. Zhong
Keyword(s):  
Heat Transfer ◽  
Heat Flux ◽  
Analytical Solution ◽  
Surface Heat Flux ◽  
Measurement Errors ◽  
Numerical Solutions ◽  
Heat Conduction Problem ◽  
Initial Guess ◽  
Surface Heat

Abstract Quench probes have been used to collect temperature data in controlled quenching experiments; the data is then used to deduce the heat transfer coefficients in the quenching medium. The process of determination of the heat transfer coefficient at the surface is the inverse heat conduction problem, which is extremely sensitive to measurement errors. This paper reports on an experimental and theoretical study of quenching carried out to determine the surface heat flux history during a quenching process by an inverse algorithm based on an analytical solution. The algorithm is applied to experimental data from a quenching experiment. The surface heat flux is then calculated, and the theoretical curve obtained from the analytical solution is compared with experimental results. The inverse calculation appears to produce fast, stable, but approximate results. These results can be used as the initial guess to improve the efficiency of iterative numerical solutions which are sensitive to the initial guess.

Numerical Solutions to an Inverse Problem of Heat Conduction for Simple Shapes

1960 ◽  
Vol 82 (1) ◽  
pp. 20-25 ◽  
Author(s):  
G. Stolz
Keyword(s):  
Heat Flux ◽  
Inverse Problem ◽  
Heat Conduction ◽  
Numerical Methods ◽  
Surface Heat Flux ◽  
Direct Problem ◽  
Numerical Solutions ◽  
Superposition Principle ◽  
Surface Heat ◽  
Numerical Inversion

Numerical methods are presented for solving an inverse problem of heat conduction: Given an interior temperature versus time, find the surface heat flux versus time. The analysis is developed specifically for spheres; it applies to other simple shapes. The system is treated as linear, permitting use of the superposition principle. The essence of the method is the numerical inversion of a suitable direct problem: Given a surface heat flux versus time, find an interior temperature versus time. Care is required in selecting a time spacing for, if it is chosen too small in relation to the conditions, undesirable oscillation results. Simplifying suggestions are presented, and the use of the methods are illustrated by examples.

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