Comparative Numerical Analysis for the Error Estimation of the Fluid Flow over an Inclined Axisymmetric Cylinder with a Gyrotactic Microbe

The numerical investigation of bioconvective nanofluid (NF) flow, which involves gyrotactic microbes and heat mass transmission analysis above an inclined extending axisymmetric cylinder, is presented in this study. study aims to investigate the bioconvection flow under influence sources/sinks. Through proper transformation, all partial differential equations are transformed into a non-linear ODE scheme. A new set variables directive get first-order convectional then solved numerically using bvp4c MATLAB, embedded function. proposed model validated after calculating error estimation obtaining residual error. various factors on velocity, energy, concentration, density motile microorganisms examined studied. describes addresses physical measures concentration such as Skin Friction (SF), Sherwood number, microorganisms, Nusselt number. To validate present study, comparison conducted with previous studies, excellent correspondence found. In addition, ND-Solve approach utilized confirm bvp4c. mathematical confirmed through analysis. This provides platform for industrial applications cooling capacity polymers, exchange, chemical production sectors.