Influence of radially magnetic field properties in a peristaltic flow with internal heat generation: Numerical treatment

Abstract

This article investigates the impact of radially varying magnetic field during the peristaltically flowing nanofluid in a finite flexible tube. The inner surface of axisymmetric tube is filled with metachronal waves of cilia. Flow is provoked as a result of these metachronal waves, which are formed due to wavy or beating motion cilia. The thermal conduction of water base fluid is enhanced by involvement of carbon nanotubes. Moreover, heat transport analysis is performed with heat generation process. Governing problem is simplified under the long wave length and low Reynolds number approximation. Mathematical formulations have been performed which results into nonlinear partial differential equations. The suitable variables have been employed to obtain coupled ordinary differential system. Numerical solution is obtained by using Adams-Bashforth technique. Error analysis for the obtained results have been presented which show the validity in terms of tolerance level. Graphical results are prepared and analyzed for different sundry parameters showing the real insight of the analysis. The peristaltic pumping region is −1.0 < Q < -0.3 for wave amplitude and −1.0 < Q < −0.4 for magnetic parameter. Magnetic parameter reduces the fluid velocity effectively. Streamline pattern and bar charts have been prepared for both single and multiwall CNTs.

Keywords

• Carbon nanotubes
• Radially varying magnetic field
• Ciliated walls
• Error analysis
• Adams-bashforth technique