The Stefan Problem of a Polymorphous MaterialSource: Journal of Applied Mechanics:;1979:;volume( 046 ):;issue: 004::page 789Author:L. N. Tao
DOI: 10.1115/1.3424655Publisher: The American Society of Mechanical Engineers (ASME)
Abstract: The problem of freezing or melting of a polymorphous material in a semi-infinite region with arbitrarily prescribed initial and boundary conditions is studied. Exact solutions of the problem are established. The solutions of temperature of all phases are expressed in polynomials and functions in the error integral family and time t and the position of the interfacial boundaries in power series of t1/2 . Existence and uniqueness of the series solutions are considered and proved. It is also shown that these series are absolutely and uniformly convergent. The paper concludes with some remarks on density changes at the interfacial boundary and various special cases, one of which is the similarity solution.
keyword(s): Density , Temperature , Freezing , Melting , Boundary-value problems , Errors , Functions AND Polynomials ,
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| contributor author | L. N. Tao | |
| date accessioned | 2017-05-08T23:05:55Z | |
| date available | 2017-05-08T23:05:55Z | |
| date copyright | December, 1979 | |
| date issued | 1979 | |
| identifier issn | 0021-8936 | |
| identifier other | JAMCAV-26131#789_1.pdf | |
| identifier uri | http://yetl.yabesh.ir/yetl/handle/yetl/91663 | |
| description abstract | The problem of freezing or melting of a polymorphous material in a semi-infinite region with arbitrarily prescribed initial and boundary conditions is studied. Exact solutions of the problem are established. The solutions of temperature of all phases are expressed in polynomials and functions in the error integral family and time t and the position of the interfacial boundaries in power series of t1/2 . Existence and uniqueness of the series solutions are considered and proved. It is also shown that these series are absolutely and uniformly convergent. The paper concludes with some remarks on density changes at the interfacial boundary and various special cases, one of which is the similarity solution. | |
| publisher | The American Society of Mechanical Engineers (ASME) | |
| title | The Stefan Problem of a Polymorphous Material | |
| type | Journal Paper | |
| journal volume | 46 | |
| journal issue | 4 | |
| journal title | Journal of Applied Mechanics | |
| identifier doi | 10.1115/1.3424655 | |
| journal fristpage | 789 | |
| journal lastpage | 794 | |
| identifier eissn | 1528-9036 | |
| keywords | Density | |
| keywords | Temperature | |
| keywords | Freezing | |
| keywords | Melting | |
| keywords | Boundary-value problems | |
| keywords | Errors | |
| keywords | Functions AND Polynomials | |
| tree | Journal of Applied Mechanics:;1979:;volume( 046 ):;issue: 004 | |
| contenttype | Fulltext |