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1 International Journal of Applied Mechanics and Engineering

1 2010

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Transient analysis of alloy freezing in finite media with energy generation and convective cooling

Kumar S., Katiyar V. K.

International Journal of Applied Mechanics and Engineering

2010

Vol. 15, no 4

1155-1168

The effects of volumetric energy generation on phase change problems are important for many engineering applications including casting of nuclear waste materials, vivo freezing of biological tissues solar collectors etc. In the present study, a 1-D transient heat transfer analysis is carried out to study the effect of volumetric heat generation on alloy solidification in finite media with convective cooling. Enthalpy method is used to solve the mathematical model. The temperature profile and the motion of freezing interface are calculated for different values of volumetric heat generation and convective cooling. It is found that the motion of freezing interface slows down with an increase in the heat generation rate and for large values of heat generation it is not possible to solidify the whole region. The freezing accelerates with respect to an increasing rate of convective cooling. Further, for large values of heat generation the whole region can solidify by increasing convective cooling.