Simultaneous effects of radiation, magnetic field on peristaltic flow of Carreau nanofluid submerged in gyrotactic microorganisms with heat and mass transfer

Heat Transfer ◽  
2020 ◽  
Author(s):  
Nabil T. Eldabe ◽  
Afaf A. Zaghrout ◽  
Shaimaa F. Ramadan ◽  
Hadeer A. Azzam
2013 ◽  
Vol 68 (12) ◽  
pp. 751-758 ◽  
Author(s):  
Tasawar Hayat ◽  
Saima Noreen ◽  
Muhammad Qasim

In this paper, we discuss the effects of heat and mass transfer on the peristaltic flow in the presence of an induced magnetic field. Constitutive equations of a Phan-Thien-Tanner fluid are utilized in the mathematical description. Mathematical modelling is based upon the laws of mass, linear momentum, energy, and concentration. Relevant equations are simplified using long wavelength and low Reynolds number assumptions. A series solution is presented for small Weissenberg number. Variations of emerging parameters embedded in the flow system are discussed.


2012 ◽  
Vol 134 (7) ◽  
Author(s):  
Sadia Hina ◽  
Tasawar Hayat ◽  
Saleem Asghar ◽  
Mohammed Shabab Alhothuali ◽  
Adnan Alhomaidan

This paper discusses the effects of magnetic field and heat and mass transfer on the peristaltic flow of an incompressible fluid in a channel with compliant walls. Mathematical formulation for the fourth grade fluid is presented. Relations of stream function, temperature, concentration field, and heat transfer coefficient are derived. The variations of the interesting parameters entering into the problem are carefully analyzed.


2021 ◽  
Vol 2021 ◽  
pp. 1-22
Author(s):  
R. M. Akram Muntazir ◽  
M. Mushtaq ◽  
K. Jabeen

This article addresses the numerical exploration of steady and 2D flow of MHD Carreau nanofluid filled with motile microorganisms over three different geometries, i.e., plate, wedge, and stagnation point of a flat plate. The influence of magnetic field, viscous dissipation, thermophoresis, and Brownian motion is considered for both cases, i.e., shear thinning and shear thickening. A set of relevant similarity transformations are utilized to obtain dimensionless form of governing coupled nonlinear partial differential equations (PDEs). The transformed system of ordinary differential equations (ODEs) is then numerically solved by bvp4c via MATLAB based on shooting technique and Runge–Kutta–Fehlberg (RKF) scheme via MAPLE. Also, a numerical analysis has been made for skin friction factor, heat, and mass transfer rates. Results elucidate that all the profiles except velocity show decreasing behavior for higher values of magnetic field parameter. Among all three flow geometries for both shear thinning and shear thickening cases, the flow over a plate has lesser skin friction factor. The nanoparticle concentration and density of motile microorganism decrease in both the shear thinning and shear thickening cases, for increasing values of Brownian motion (Nb), but reverse trend is observed for rising values of thermophoresis parameter (Nt). Furthermore, it is observed that, as we increase the values of suction/injection parameter (S), the velocity of fluid increases but decreases the fluid temperature, concentration of mass and density of motile organisms over a plate, wedge, and stagnation point of a flat plate. Also, we observed that shear thinning nanofluid has higher rate of heat, mass, and motile microorganisms mass transfers than shear thickening fluid. Both shear thinning and thickening nanofluid have a low rate of heat/mass and gyrotactic microorganisms mass transfer over plate among wedge and stagnation point flow.


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