Abstract
Current improvements in nanoscience and nanotechnology fascinated the interest of investigators due to their impressive technological and mechanical engineering applications. The survey of biconvection flow nanoliquids is the main subject of interest nowadays as it requires a wide spectrum of structural significance in biofuel bioengineering and biomedical study. This article aims to discover the aspects of the two-dimensional Oldroyd-B nanofluid flow having motile microorganisms, bioconvection, and nanoparticles over a stretching sheet with the consequences of the Cattaneo-Christov phenomena. The regulating system of PDEs is renewed into suitable ODEs by fitting similarity variables. The built-in numerical technique bvp4c is utilized in the mathematical software MATLAB to obtain the approximate integration of the flow framework. The behavior of flow prominent parameters is scrutinized graphically. Our investigation conveys that velocity profile reduces as the buoyancy ratio parameter, bioconvection Rayleigh number, and Deborah number for relaxation time parameter enhance. Temperature distribution and concentration field are declared declining functions of the Prandtl number. Microorganisms' concentration rises by enhancing values of microorganisms' stratification Biot number, while the reverse trend is perceived for the Peclet number. Additionally, local skin friction coefficient upsurges for advanced valuation of buoyancy ratio and magnetic parameters.