Transient natural convection flow over vertical cylinder with variable surface temperatures

Ganesan, P.; Rani, H. P.

doi:10.1007/s100100000033

Cited by 23 publications

(15 citation statements)

References 5 publications

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“…The stability analysis of the finite-difference equations that approximates the solution of heat transfer problems has been studied by Soundalgekar [13], Muthukumaraswamy and Ganesan [8], and Ganesan and Rani [3]. In this section, the von Neumann method is used to study the stability condition for the finite difference (3.1), (3.2), and (3.3).…”

Section: Stability Analysismentioning

confidence: 99%

Finite difference solution of radiation effects on MHDunsteady free‐convection flow over vertical plate withvariable surface temperature

El-Naby

Elbarbary

Abdelazem

2003

Journal of Applied Mathematics

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An analysis is performed to study radiation effects on magnetohydrodynamic (MHD) unsteady free-convection flow past a semi-infinite vertical plate with variable surface temperature in the presence of transversal uniform magnetic field. The boundary layer equations are transformed into a linear algebraic system by an implicit finite-difference method. A parametric study is performed to illustrate the influence of radiation parameter, magnetic parameter, and Prandtl number on the velocity and temperature profiles. The numerical results reveal that the radiation has significant influences on the velocity and temperature profiles, skin friction, and Nusselt number. The results indicate that the velocity, temperature, and local and average skin friction increase as the radiation parameter increases, while the local and average Nusselt numbers decrease as the radiation parameter increases.

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Section: Stability Analysismentioning

confidence: 99%

Finite difference solution of radiation effects on MHDunsteady free‐convection flow over vertical plate withvariable surface temperature

El-Naby

Elbarbary

Abdelazem

2003

Journal of Applied Mathematics

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“…Substituting Equation (A1) in Equations (13)- (15). Under the assumptions that coefficients U , and are constant over any one step and denoting the values after one time step by , and , we may get that, after simplification…”

Section: N S Elgazery and M A Hassanmentioning

confidence: 98%

“…The stability analysis of the finite difference equations, which approximates the solution of heat transfer problems, is studied by Ganesan and Rani [15], Muthukumaraswamy and Ganesan [16] and Soundalgekar [17]. In this section, the Von Neumann method is used to study the stability condition for the finite difference equations (13) …”

Section: Appendix Amentioning

confidence: 99%

Numerical study of radiation effect on MHD transient mixed‐convection flow over a moving vertical cylinder with constant heat flux

Elgazery

Hassan

2007

Commun. Numer. Meth. Engng.

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SUMMARYIn this paper, a numerical analysis to study thermal radiation effect on magnetohydrodynamic (MHD) unsteady mixed-convection flow over a moving vertical cylinder with constant heat flux through a porous medium in the presence of transversal uniform magnetic field has been performed. The boundary layer equations are transformed into a linear algebraic system by a Crank-Nicolson type of implicit finitedifference method. The stability condition of the scheme was studied. Numerical results are presented with various sets of parameters for both air and water. The results show many interesting effects on velocity, temperature and concentration profiles on local as well as average shear stress, rate of heat and mass transfer. Also, the velocity and temperature profiles are compared with the available results in the literature and it is found to be in good agreement.

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“…By employing laminar boundary layer flow assumptions due to Saffman [5] and the Boussinesq approximation, the governing conservation equations [2][3][4] can be written as Equation for dusty gas:…”

Section: Introductionmentioning

confidence: 99%

“…In addition, the CrankNicholson system is unconditionally stable for natural convection flow [4]. Thus, the compatible and stability ensure convergence.…”

mentioning

confidence: 98%

Free convection of a dusty‐gas flow along a semi‐infinite vertical cylinder

Palani

Kim

2009

Numerical Methods in Fluids

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SUMMARYAn analysis is performed to study the free convection of a dusty-gas flow along a semi-infinite isothermal vertical cylinder. The governing equations of the flow problem are transformed into non-dimensional form and the resulting nonlinear, coupled parabolic partial differential equations have been solved numerically using an implicit finite difference scheme of Crank-Nicholson type. The flow variables such as gasvelocity, dust-particle velocity and temperature, shearing stress and heat transfer coefficients are calculated numerically for various parameters occurring in the problem. It is observed that due to the presence of dust particles, the gas velocity is found to decrease.

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Transient natural convection flow over vertical cylinder with variable surface temperatures

Cited by 23 publications

References 5 publications

Finite difference solution of radiation effects on MHDunsteady free‐convection flow over vertical plate withvariable surface temperature

Finite difference solution of radiation effects on MHDunsteady free‐convection flow over vertical plate withvariable surface temperature

Numerical study of radiation effect on MHD transient mixed‐convection flow over a moving vertical cylinder with constant heat flux

Free convection of a dusty‐gas flow along a semi‐infinite vertical cylinder

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