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The Mathematical Analysis for Peristaltic Flow of Hyperbolic Tangent Fluid in a Curved Channel 被引量:2

The Mathematical Analysis for Peristaltic Flow of Hyperbolic Tangent Fluid in a Curved Channel
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摘要 In the present paper, we have investigated the peristaltic flow of hyperbolic tangent fluid in a curved channel. The governing equations of hyperbolic tangent fluid model for curved channel are derived including the effects of curvature. The highly nonlinear partial differential equations are simplified by using the wave frame transformation,long wave length and low Reynolds number assumptions. The reduced nonlinear partial differential equation is solved analytically with the help of homotopy perturbation method (HPM). The physical features of pertinent parameters have been discussed by plotting the graphs of pressure rise and stream functions. In the present paper, we have investigated the peristaltic flow of hyperbolic tangent fluid in a curved channel. The governing equations of hyperbolic tangent fluid model for curved channel are derived including the effects of curvature. The highly nonlinear partial differential equations are simplified by using the wave frame transformation, long wave length and low Reynolds number assumptions. The reduced nonlinear partial differential equation is solved analytically with the help of homotopy perturbation method (HPM). The physical features of pertinent parameters have been discussed by plotting the graphs of pressure rise and stream functions.
出处 《Communications in Theoretical Physics》 SCIE CAS CSCD 2013年第6期729-736,共8页 理论物理通讯(英文版)
关键词 双曲正切 流体流动 数学分析 蠕动 通道 非线性偏微分方程 弧形 同伦摄动法 tangent hyperbolic fluid, curved channel, peristaltic flow, HPM
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