MHD three dimensional flow of Oldroyd-B nanofluid over a bidirectional stretching sheet: DTM-Padé Solution

Nonlinear engineering: Modeling and application

article

Sumit Gupta¹  Sandeep Gupta² 

[1] Department of Mathematics, Swami Keshvanand Institute of Technology, Management and Gramothan;Department of Mathematics, S. S. Jain Subodh P.G. (Autonomous) College

关键词: non-Newtonian nanofluid;    Thermophoresis;    Brownian motion;    stretching sheet;    DTM-Padé;    numerical solution;   

DOI  :  10.1515/nleng-2018-0047

来源: De Gruyter

【 摘 要 】

Current article is devoted with the study of MHD 3D flow of Oldroyd B type nanofluid induced by bi-directional stretching sheet. Expertise similarity transformation is confined to reduce the governing partial differential equations into ordinary nonlinear differential equations. These dimensionless equations are then solved by the Differential Transform Method combined with the Padé approximation (DTM-Padé). Dealings of the arising physical parameters namely the Deborah numbers β 1 and β 2 , Prandtl number Pr, Brownian motion parameter N b and thermophoresis parameter N t on the fluid velocity, temperature and concentration profile are depicted through graphs. Also a comparative study between DTM and numerical method are presented by graph and other semi-analytical techniques through tables. It is envisage that the velocity profile declines with rising magnetic factor, temperature profile increases with magnetic parameter, Deborah number of first kind and Brownian motion parameter while decreases with Deborah number of second kind and Prandtl number. A comparative study also visualizes comparative study in details.

【 授权许可】

Unknown