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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.

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Effective Prandtl Aspects on Bio-Convective Thermally Developed Magnetized Tangent Hyperbolic Nanoliquid With Gyrotactic Microorganisms and Second Order Velocity Slip