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Tao Ji Shuhong Tang Ethiraju Thandapani 《Journal of Applied Mathematics and Computing》2014,44(1-2):519-529
This work is concerned with the asymptotic behavior of a class of third-order half-linear neutral dynamic equations with mixed arguments on a time scale. Some new criteria and an example are presented. 相似文献
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G. Palani A. R. Ragavan E. Thandapani 《Journal of Applied Mechanics and Technical Physics》2013,54(6):960-970
An analysis is presented to investigate the influence of viscous dissipation on a free convection flow over a vertical cone with a variable surface heat flux under the action of a transverse magnetic field. The heat transfer characteristics of the free convection flow are investigated numerically. Numerical solutions for transformed governing equations with a variable surface heat flux are obtained. Velocity, temperature, local shear stress, and heat transfer coefficients are calculated for various values of the problem parameters and presented in the graphical form. The effects of the magnetic parameter, the dissipation number, the power-law index, the angle between the cone generatrix and the vertical line, and the Prandtl number on the flow are discussed. For validation of the present numerical results, they are compared with available experimental data and are found to agree well. 相似文献
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E. Thandapani A. R. Ragavan G. Palani 《Journal of Applied Mechanics and Technical Physics》2012,53(3):408-421
An analysis is performed to study the heat transfer characteristics of natural convection over a vertical cone under the combined
effects of a magnetic field and thermal radiation. The cone surface is subjected to a variable surface temperature. The fluid
considered is a gray absorbing/emitting, but non-scattering medium. The boundary layer equations governing the flow are reduced
to non-dimensional equations using non-dimensional quantities valid in the free-convection regime. The resulting non-dimensional
governing equations are solved by an implicit finite-difference method of the Crank-Nicolson type, which is rapidly convergent
and unconditionally stable. Numerical results are obtained for velocity, temperature, local and average skin friction, and
local and average Nusselt numbers for various values of parameters occurring in the problem and are presented in the graphical
form. Excellent agreement of the results obtained with available data is demonstrated. 相似文献
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In this paper, the authors study the asymptotic behavior of solutions of second-order neutral type difference equations of the form
Δ2(yn+pyn−k)+f(n,yn−ℓ)=0,n