Stagnation point bionanofluid slip flow model: Sensitivity analysis

Abstract

The paper studied on thermodynamics properties of bionanofluid flow over a stagnation point on a shrinking surface. Natural properties of the stagnation point have facilitated numerous applications in the field of chemistry and biology. A Buongiorno mathematical model describing steady two-dimensional bionanofluid stagnation point flow over a shrinking surface, merged with velocity and thermal slips condition is constructed. Similarity transformation is used to reduce governing partial differential equations into a system of ordinary differential equations. Numerical analysis by shooting technique followed by sensitivity analysis is configured to determine the correlation between input parameters and output response. Relationships or sensitivities of the four parameters of interest namely skin friction coefficient, local Nusselt number, local Sherwood number and local density of motile microorganism with respective velocity, temperature, nanoparticle concentration and microorganism density distributions to the selected input parameters are being focused. Skin friction coefficient promotes with suction signifying positive sensitivity yet demotes with shrinking parameter signifying negative sensitivity. Local Sherwood number is most sensitive to Lewis number whereas local Nusselt number is conditionally sensitive to Lewis number. The sensitivity results would be the comprehensive elementary protocol for the future biomedical device fabrication such as biosensors. There are extensive numerical studies on boundary layer problem however this is the first study discussing on sensitivity of parameters of interest to the input thermophysical parameters using sensitivity analysis under the principle of RSM.

Keywords

• 35K
• 49Q12
• 76N20