Investigation of generalized Fick's and Fourier's laws in the second-grade fluid flow

作     者：T.HAYAT S.AHMAD M.I.KHAN A.ALSAEDI 

作者机构：Department of Mathematics Quaid-i-Azam University Nonlinear Analysis and Applied Mathematics (NAAM) Research GroupDepartment of Mathematics Faculty of Science King Abdulaziz University 

出 版 物：《Applied Mathematics and Mechanics(English Edition)》 (应用数学和力学（英文版）)

年 卷 期：2018年第39卷第11期

页      面：1617-1630页

核心收录：

学科分类：080103[工学-流体力学] 08[工学] 0805[工学-材料科学与工程（可授工学、理学学位）] 0802[工学-机械工程] 0701[理学-数学] 0801[工学-力学（可授工学、理学学位）] 

基　　金：Project supported by the Natural Science and Engineering Research Council(NSERC)of Canada(No.NSERC-RGPIN204992) 

主　　题：second-grade liquid thermal and solutal stratification Cattaneo-Christov double diffusion rotating stretchable disk 

摘      要：The second-grade fluid flow due to a rotating porous stretchable disk is modeled and analyzed. A porous medium is characterized by the Darcy relation. The heat and mass transport are characterized through Cattaneo-Christov double *** thermal and solutal stratifications at the surface are also accounted. The relevant nonlinear ordinary differential systems after using appropriate transformations are solved for the solutions with the homotopy analysis method(HAM). The effects of various involved variables on the temperature, velocity, concentration, skin friction, mass transfer rate, and heat transfer rate are discussed through graphs. From the obtained results,decreasing tendencies for the radial, axial, and tangential velocities are observed. Temperature is a decreasing function of the Reynolds number, thermal relaxation parameter,and Prandtl number. Moreover, the mass diffusivity decreases with the Schmidt number.