期刊
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
卷 46, 期 10, 页码 11355-11372出版社
WILEY
DOI: 10.1002/mma.7722
关键词
bioconvection; magnetohydrodynamics; Maxwell fluid; nanofluid; Runge-Kutta scheme; thermal radiation
This paper evaluates the thermal output for the flow of Maxwell nanofluid over an extending sheet with bioconvection. The inclusion of nanoparticles enhances the thermal transportation, while bioconvection prevents settling of the nanoparticles. By varying the influential parameters, the flow speed and fluid temperature can be affected. The numerical results are validated by comparison with existing studies.
This paper evaluates thermal output for the flow of Maxwell nanofluid over an extending sheet with bioconvection of micron size self-motivated organisms. Radiative heat flux and two temperature boundary conditions, namely, prescribed surface temperature (PST) and prescribed heat flux (PHF), are considered. The flow is influenced by a magnetic field and porosity effects of a medium. The motivation pertains to attain an enhancement in thermal transportation via nanoparticle inclusion. The possible settling of the nanoparticles may be avoided by bioconvection of microorganisms. The basic theoretical conservation of mass, concentration, momentum, and energy provides a nonlinear set of partial differential equations which are then transmuted into ordinary differential form. The implementation of Runge-Kutta method with shooting technique in Matlab coding resulted the numerical solution. A deep insight into the problem is inspected by varying the inputs of influential parameters of the dependent functions. It is perceived that the flow speed is hindered by the growing inputs of parameters of buoyancy ratio, magnetic field, Raleigh number, and porosity. The temperature of the fluid attains higher outputs directly with thermophoresis and Brownian movement of nanoparticles. Motile microorganisms chi(eta) profile goes down when bioconvection Schmidt number intensified. The current numeric results are validated when compared within existing studies.
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