Wyniki wyszukiwania - BazTech

Ograniczanie wyników

Znaleziono wyników: 2

Liczba wyników na stronie

Wyniki wyszukiwania

Wyszukiwano:
w słowach kluczowych: metoda transformacji Laplace'a

Sortuj według:

Ogranicz wyniki do:

MHD flow past a parabolic flow past an infinite isothermal vertical plate in the presence of thermal radiation and chemical reaction

Muthucumaraswamy R., Sivakumar P.

International Journal of Applied Mechanics and Engineering

2016

Vol. 21, no. 1

95--105

The problem of MHD free convection flow with a parabolic starting motion of an infinite isothermal vertical plate in the presence of thermal radiation and chemical reaction has been examined in detail in this paper. The fluid considered here is a gray, absorbing emitting radiation but a non-scattering medium. The dimensionless governing coupled linear partial differential equations are solved using the Laplace transform technique. A parametric study is performed to illustrate the influence of the radiation parameter, magnetic parameter, chemical reaction parameter, thermal Grashof number, mass Grashof number, Schmidt number and time on the velocity, temperature, concentration. The results are discussed graphically and qualitatively. The numerical results reveal that the radiation induces a rise in both the velocity and temperature, and a decrease in the concentration. The model finds applications in solar energy collection systems, geophysics and astrophysics, aerospace and also in the design of high temperature chemical process systems.

Analytical and numerical model of transient heat transfer in a single tube row heat exchanger

Taler D.

Archives of Thermodynamics

2007

Vol. 28, no. 1

51-64

Cross-flow tubular heat exchangers are widely applied as condensers and evaporators in air conditioners and heat pumps or as air heaters in heating systems. There are analytical and numerical mathematical models of heat exchangers of that type to determine the steady state temperature distribution of fluids. In this paper the transient response of a single-row tubular cross-flow tube - and - fin heat exchanger is analyzed. Partial differential equations for both hot and cold fluid are solved by the Laplace transform method with numerical inversion and by the finite-difference (finite-volume) method. The transient response of one-row tube - and - fin heat exchanger due to step change of air temperature is calculated using both developed approaches. Good agreement between the analytical predictions (the Laplace transform method and analytical exact steady state solution) and the finite difference solution has been found. After eliminating the time, using the Laplace transform, a simpler system of partial equations is formed, which can be solved analytically. In view of the complex form of the achieved solutions, the inverse Laplace transform is obtained numerically by the method due to Crump improved by de Hoog. The solutions presented in the paper can be used to analyze the operation of heat exchangers in transient conditions and can find application in systems of automatic control or in the operation of heat exchangers.