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1

Numerical predictions of laminar flow and free convection heat transfer from an isothermal vertical flat plate

Belhocine Ali, Stojanovic Nadica, Abdullah Oday Ibraheem

Archive of Mechanical Engineering

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2022

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LXIX, nr 4

749--773

EN

In this present work, the laminar free convection boundary layer flow of a two-dimensional fluid over the vertical flat plate with a uniform surface temperature has been numerically investigated in detail by the similarity solution method. The velocity and temperature profiles were considered similar to all values and their variations are as a function of distance from the leading edge measured along with the plate. By taking into account this thermal boundary condition, the system of governing partial differential equations is reduced to a system of non-linear ordinary differential equations. The latter was solved numerically using the Runge-Kutta method of the fourth-order, the solution of which was obtained by using the FORTRAN code on a computer. The numerical analysis resulting from this simulation allows us to derive some prescribed values of various material parameters involved in the problem to which several important results were discussed in depth such as velocity, temperature, and rate of heat transfer. The definitive comparison between the two numerical models showed us an excellent agreement concerning the order of precision of the simulation. Finally, we compared our numerical results with a certain model already treated, which is in the specialized literature.

2

Unsteady free convection over a vertical plate subject to a step change of the surface temperature or heat flux in a stratified porous medium

Magyari E., Keller B., Pop I.

International Journal of Applied Mechanics and Engineering

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2007

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Vol. 12, no 2

465-476

EN

The problem of unsteady free convection heat transfer from a one-dimensional (parallel) flow along an infinite verticaI fiat plate embedded in a thermaIly stratified fluid-saturated porous medium is considered. FIows are induced by a step change in surface temperature or heat flux. By a formaI reduction of the corresponding boundary vaIue problems to well known Fourier heat conduction problems, analytical solutions of the Darcy and energy equations are obtained.

3

Free convection of water at 4°C from a vertical flat plate with step discontinuities in surface temperature

Postelnicu A.

International Journal of Applied Mechanics and Engineering

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2007

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Vol. 12, no 3

767-779

EN

The free convection boundary layer of water at 4° C from a vertical flat plate with step discontinuities in surface temperature is investigated here. Under a convenient transformation of variabIes, the problem is cast into a pair of partial differential equations, which are numerically solved using the well-known Keller-box method. Temperature and veloeity field developments are presented for various values of the parameter 8w2 whieh represents the step discontinuity in the surface temperature for both Pr=ll.4 and Pr=7. The loeal heat tlux is calculated in a dimensionless form and is plotted vs the streamwise coordinate for both water in the extremum and in normal conditions of density .