A PROPOSAL TO SOLVE NEUMANN S PROBLEM APPROXIMATELY, TAKING ACCOUNT OF BULK DILATATION BY PHASE CHANGE- A SEMI-INFINITE SOLID -
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This paper presents an approximate solution of Neumann''s problem for a semi-infinite solid, taking account of the convection at the surface and of the density change for the solidifying substance. For a special case where heat transfer coefficient at the surface is infinite or very large, a proposed procedure of the approximate solution to the exact solution is discussed mathematically. Applying the above approximate solution, position of solidifying front as well as temperature distribution in both phases are calculated numerically for an illustrative example, including the dilatation of bulk on solidification.
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- A PROPOSAL TO SOLVE NEUMANN S PROBLEM APPROXIMATELY, TAKING ACCOUNT OF BULK DILATATION BY PHASE CHANGE- A SEMI-INFINITE SOLID -