Abstract
A model of the Hele‐Shaw flow for power‐law fluid is proposed. A classical formulation of the corresponding moving boundary value problem is given.
Highlights
ËÌÊ ÌÑÓ ÐÓØÀÐ 1Ë Û ÓÛ ÓÖ ÔÓÛ Ö1Ð Û Ù × ÔÖÓÔÓ× o Ø ÓÖÖ ×ÔÓÒ Ò ÑÓÚ Ò ÓÙÒ ÖÝ Ú ÐÙ ÔÖÓ Ð Ñ × Ú Òo
ÇÆ Ä ËËÁ Ä ÇÊÅÍÄ ÌÁÇÆ Ç À Ä 1ËÀ Ï ÅÇÎÁÆ ÇÍÆ Ê ÈÊÇ Ä Å ÇÊ ÈÇÏ Ê1Ä Ï ÄÍÁ 1⁄2
È × Ù©ÐÝØ × Ò Ù × Ò 1Æ ÙØÓÒÓ × Ý× Ù¬ Ø a ÑÓ ÑÓ Ð ×o È Ø Ø × Ð × Ò × ÓÖÑÙÐ Ú Ñ × Ùö Ú Ò Ó ×ÔÖ Ò ö ÑÓ ×Ö ØÝ× ×Ù Ð ×ÚÙÒÙÔÚÖ ÙÑ o ËÔÖ Ò Ò Ó Þ ×Ø Ò Ó× Ö Ú Ò Ø × Ð Ù× Ñ Ù× ØÖÑØÑÖo
Summary
ÑÓ ÐÓØÀÐ 1Ë Û ÓÛ ÓÖ ÔÓÛ Ö1Ð Û Ù × ÔÖÓÔÓ× o Ø ÓÖÖ ×ÔÓÒ Ò ÑÓÚ Ò ÓÙÒ ÖÝ Ú ÐÙ ÔÖÓ Ð Ñ × Ú Òo. ÁÒ Ø × × Ø ÓÒ Û Ö ÐÐ Ø Ö Ú Ø ÓÒ Ó Ô Ý× Ð ÑÓ Ð Ò Ñ ÓÖÖ ×ÔÓÒ 1 Ò × ÑÔÐ Ø ÓÒ× Ð Ù× ØÓ Ø À Ð 1Ë Û ØÝÔ ÔÔÖÓÜ Ñ Ø ÓÒo Ï ×ÙÔÔÓ× Ö×Ø Ø Ø Ø ÒÓÒ1Æ ÛØÓÒ Ò Ù × × ØÙ Ø ØÛ Ò ØÛÓ Ð Ö ÔÐ Ø × × Ô 1 Ö Ø Ý Ò ÖÖÓÛ Ôo ÌÛØÓØÔÛ ÒÓØ 3⁄4 ×ÙÔÔÓ× Ò Ø Ø Ø × ×× ÒØ ÐÐÝ ×Ñ ÐÐ Ö Ø Ò Ø × Ð Ó Ø ÔÐ Ø ×o ÁØ × Ù×ØÓÑ ÖÝ ØÓ ÓÒ1 × Ö ÙÐÐÝ Ú ÐÓÔ Ð Ñ Ò Ö ÓÛ Ö Û Ý ÖÓÑ ÔÓ×× ÐÝ Ü ×Ø Ò ÑÓÚ Ò. ÑÓÑ ÒØÙÑo Ì Ù ÙÒ Ö ÓÒ× Ö Ø ÓÒ × ×ÙÔÔÓ× ØÓ ÒÓÒ1Æ ÛØÓÒ ÒÔÓÛ Ö1Ð Ûμ Ò Ò ÓÑÔÖ ×× ÐoÌÐØÖ ××ÙÑÔØ ÓÒ Ú × Ù× Ø ÓÒØ ÒÙ ØÝ
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