Abstract
The current article depicts the impact of the effective Prandtl number on thermally developed flow of magnetized tangent hyperbolic fluid containing nanoparticles over a porous surface with shear rate viscosity. Zero normal mass flux condition for nano particles is used with second order slip features. In order to prop the suspended nanoparticles by associate effect of buoyancy force and magnetic field is implemented. Bio-convective effect with Nield boundaries due to gyrotactic motile microorganisms is the concerned factor of current communication. The implemented appropriate transformation function is used to transform the system of self-determining partial differential equations (PDEs) into the sets of non-linear ordinary differential equations (ODEs). These transmuted expression computed numerically by bvp4c function on MATLAB using mathematical scheme shooting technique. Furthermore, the interesting phenomena of controlling parameters, is inspected on velocity profile, temperature distribution, concentration profile of nano particles and motile microorganisms by using graphical and numerical techniques. The first order and the second order slip parameters decay the momentum boundry layer, and boosted up the velocity profile as enhance in the value of mixed convection parameter. It is deduced that the Peclet number and the bio-convection Lewis number results delay in the density of the motile microorganism. For the efficient of the thermal field, the bioconvection is induced by the gyrotactic microorganisms to stabilized the nanoparticles.
Highlights
Numerous researchers done pioneering work to scan the heat transmission rate
The applied magnetic field strength is denoted as B0, σ ∗ is define for electric conductivity, K symbolized the permeability of porous medium, density, β1 volumetric expansion coefficient, g1 the gravity, φ denotes the porous medium, γ1 is the average volume of the microorganism, ρp density of the nanoparticles, N is the density of gyrotactic microorganism, ρf density of the base fluid, T is temperature
We newly present the local Nusselt, local Sherwood and motile microorganism local density numbers are physical quintiles like Nux
Summary
Numerous researchers done pioneering work to scan the heat transmission rate. The heat transfer phenomenon has a remarkable significance in applied sciences, engineering and industrial fields due to its several applications. The thixotropy is the time dependent shear thinning property under static condition In this article this factor is applied on the fluid, under these factors the magnetized tangent hyperbolic nanofluid with second slip and motile microorganism is meditate the effects and generate the two dimensional steady non-viscous fluid flow. The thermal conductivity and field of magnetic effects on heat transfer phenomenon of fluid flow in tangent hyperbolic was explored by Salahuddin et al [30]. Enzyme biosensors, micro heat cylinder, in constructing chip-size micro plans to daze the disadvantages of Nano particles are significant applications of the study of nanofluids flow with gyrotactic motile microorganism We ensured such flow model with suggested feature is not reported in the literature. Outcomes and detailed results are in the term of microorganism’s motions, temperature, nanoparticles and velocity are presented
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