Unsteady Casson fluid flow over a vertical surface with fractional bioconvection

This paper deals with unsteady flow of fractional Casson fluid in the existence of bioconvection. The governing equations are modeled with fractional derivative which is transformed into dimensionless form by using dimensionless variables. The analytical solution is attained by applying Laplace transform technique. Some graphs are made for involved parameters. As a result, it is found that temperature, bioconvection are maximum away from the plate for large time and vice versa and showing dual behavior in their boundary layers respectively. Further recent literature is recovered from the present results and obtained good agreement.

Automated summary

This paper investigates the unsteady flow of a fractional Casson fluid in the presence of bioconvection. The governing equations are modeled using fractional derivatives and transformed into dimensionless form. The analytical solution is obtained using Laplace transform technique and graphs are generated to illustrate the effects of various parameters. The results show that for large time, the temperature and bioconvection reach their maximum values away from the plate, exhibiting dual behavior in their boundary layers. The findings are consistent with recent literature.