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Existence and uniqueness theorem for flow and heat transfer of a non-Newtonian fluid over a stretching sheet 被引量:2

Existence and uniqueness theorem for flow and heat transfer of a non-Newtonian fluid over a stretching sheet
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摘要 Analysis is carried out to study the existence, uniqueness and behavior of exact solutions of the fourth order nonlinear coupled ordinary differential equations arising in the flow and heat transfer of a viscoelastic, electrically conducting fluid past a continuously stretching sheet. The ranges of the parametric values are obtained for which the system has a unique pair of solutions, a double pair of solutions and infinitely many solutions. Analysis is carried out to study the existence, uniqueness and behavior of exact solutions of the fourth order nonlinear coupled ordinary differential equations arising in the flow and heat transfer of a viscoelastic, electrically conducting fluid past a continuously stretching sheet. The ranges of the parametric values are obtained for which the system has a unique pair of solutions, a double pair of solutions and infinitely many solutions.
出处 《Journal of Zhejiang University-Science A(Applied Physics & Engineering)》 SCIE EI CAS CSCD 2007年第5期766-771,共6页 浙江大学学报(英文版)A辑(应用物理与工程)
关键词 Viscoelastic fluid Stretching sheet MHD flow Heat transfer Nonlinear systems EXISTENCE UNIQUENESS 伸张板 非牛顿流体 粘弹性流动 传热 存在性 唯一性
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