Volume 9, Issue Supplement 2, September 2002, Pages 102 - 109
Approximate Waiting-Time for a Thin Liquid Drop Spreading under Gravity
Received 1 February 2002, Available Online 2 September 2002.
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- The method of multiple scales is used to introduce a small-time scale into the nolinear diffusion equation modelling the spreading of a thin liquid drop under gravity. The Lie group method is used to analyse the resulting system. An approximate group invariant solution and an approximation to the waiting-time is obtained. A mathmatical description of a spreading drop with non-infinite contact angle is obtained. This application to determining an approximation to the waiting-time is novel as it combines the method of multiple scales and Lie groups.
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Cite this article
TY - JOUR AU - E. Momoniat PY - 2002 DA - 2002/09 TI - Approximate Waiting-Time for a Thin Liquid Drop Spreading under Gravity JO - Journal of Nonlinear Mathematical Physics SP - 102 EP - 109 VL - 9 IS - Supplement 2 SN - 1776-0852 UR - https://doi.org/10.2991/jnmp.2002.9.s2.9 DO - https://doi.org/10.2991/jnmp.2002.9.s2.9 ID - Momoniat2002 ER -