The effect of heat transfer on peristaltic flow of Jeffrey fluid in an inclined porous stratum

[摘要] This paper investigates the heat transfer effects on peristaltic transport of a Jeffrey fluid in an inclined porous stratum. The present problem is formulated under long wavelengths and low Reynolds number approximations. Regular perturbation parameter is used to solve the governing non - linear partial differential equations. The expressions for velocity, temperature, pressure gradient and volume flow rate are derived. The effects of various pertinent parameters on velocity, temperature and pressure rise are discussed graphically. The results illustrate that the influence of inclination parameter α and permeability parameter σ on flow quantities is significant. For a fixed mean flow, the pressure rise per wavelength reduces with rising values of permeability parameter where the contradictory behavior is observed for larger values of inclination parameter. The variation in velocity for different values of pertinent parameters is studied. The pressure gradient for different values of pertinent parameter is analyzed through graphs. It is observed that temperature increases with higher values of inclination parameter. Trapping phenomena is discussed graphically.

[发布机构] Department of Mathematics, School of Advanced Sciences, VIT University, Vellore; 632014, India^1;Department of Mathematics, Sri Venkateswara University, Tirupati, Andhra Pradesh; 517502, India^2

[效力级别] 工业技术

[关键词] Heat transfer effects;Low Reynolds number;Nonlinear partial differential equations;Peristaltic flows;Peristaltic transport;Regular perturbations;Temperature and pressures;Temperature increase