The numerical calculations for the creeping flow of MHD Pseudoplastic nanofluid in a mixed uniform and non-uniform channel: physiological applications

Abstract

Adaptive calculations for the creeping flow of MHD Pseudoplastic nanofluid proposed in a mixed uniform and non-uniform channel. The fluid viscosity is hypothetical to change with the temperature and concentration, and then all non-dimensional parameters that be contingent on fluid viscosity are deliberated as a variable. The systemised physical model of fluid considered by a nonlinear system of partial differential equations is a first view in modelling problems. The non-dimensional quantities are used to rearrange the system of the fluid model. The semi-analytical algorithm titled a multi-stage differential transform extracts the analytical results for a physical model. Multi-stage DTM are a good analytical method for solving highly nonlinear systems of differential equations. The adaptive calculations for the pressure rise and pressure gradient profiles are obtained. In addition, the sketches of the trapped bolus are extracted. Analytical comparisons are made with trust in existing published results and found to be good. The results show that the fluid pressure gradient grows with increasing values of Darcy number at the positive part of the channel (Upper part of the channel) and have a dual role phenomenon at the negative part of the channel (Lower Part of the channel).

KEYWORDS:

• Dependent parameters
• creeping motion
• hybrid channel
• variable viscosity
• nanofluid
• wolfram Mathematica

Acknowledgements

The authors extend their appreciation to the Deanship of Scientific Research at King Khalid University (Abha, Saudi Arabia) for funding this work through the Research Groups Program under grant number (RGP.2/60/44).

Disclosure statement

No potential conflict of interest was reported by the author(s).

Additional information

Funding

The authors extend their appreciation to the Deanship of Scientific Research at King Khalid University (Abha, Saudi Arabia) for funding this work through the Research Groups Program under grant number [RGP.2/60/44].