scholarly journals Entropy Generation in MHD Mixed Convection Non-Newtonian Second-Grade Nanoliquid Thin Film Flow through a Porous Medium with Chemical Reaction and Stratification

Entropy ◽  
2019 ◽  
Vol 21 (2) ◽  
pp. 139 ◽  
Author(s):  
Noor Khan ◽  
Zahir Shah ◽  
Saeed Islam ◽  
Ilyas Khan ◽  
Tawfeeq Alkanhal ◽  
...  

Chemical reaction in mixed convection magnetohydrodynamic second grade nanoliquid thin film flow through a porous medium containing nanoparticles and gyrotactic microorganisms is considered with entropy generation. The stratification phenomena, heat and mass transfer simultaneously take place within system. Microorganisms are utilized to stabilize the suspended nanoparticles through bioconvection. For the chemical reaction of species, the mass transfer increases. The governing equations of the problem are transformed to nonlinear differential equations through similarity variables, which are solved through a well known scheme called homotopy analysis method. The solution is expressed through graphs and illustrations which show the influences of all the parameters. The residual error graphs elucidate the authentication of the present work.

2018 ◽  
Vol 57 (2) ◽  
pp. 1019-1031 ◽  
Author(s):  
Noor Saeed Khan ◽  
Saeed Islam ◽  
Taza Gul ◽  
Ilyas Khan ◽  
Waris Khan ◽  
...  

Filomat ◽  
2019 ◽  
Vol 33 (14) ◽  
pp. 4627-4653 ◽  
Author(s):  
Noor Khan

Mixed convection in magnetohydrodynamic second grade nanofluid flow through a porous medium containing nanoparticles and gyrotactic microorganisms with chemical reaction is considered. Buongiorno?s nanofluid model is used incorporating the buoyancy forces and Darcy-Forchheimer effect. Nanoparticles increase the thermal conduction in bioconvection flow and microorganisms simultaneously increase the stability of nanofluids. For the constructive (or generation) chemical reaction, the mass transfer displays an increasing behavior. Ordinary differential equations together with the boundary conditions are obtained through the similarity variables from the governing equations of the problem, which are solved by the Homotopy Analysis Method (HAM). The investigations are presented through graphs and the results are interpreted which depict the influences of all the embedded parameters.


2018 ◽  
Vol 8 (6) ◽  
pp. 1523-1544 ◽  
Author(s):  
Zaman Palwasha ◽  
Saeed Islam ◽  
Noor Saeed Khan ◽  
Hamza Ayaz

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