Abstract
A mathematical model based on Jeffrey nanofluid under the effect of magnetic field and thermal radiation parameter for the peristaltic flow is considered in a channel, which is assumed to be in the form of a tapered asymmetric walls. The tapered asymmetry channel is produced by choosing the peristaltic wave train on the non-uniform walls to have different amplitudes and phase but with same wave speed. The analytical expressions for temperature field, nanoparticle fraction field, axial velocity, stream function, pressure gradient and shear stress are derived under the assumptions of long wavelength and low Reynolds number approximations. The salient characteristics of pumping and trapping are discussed with particular focus on the effect of geometry parameters, Hartmann number, thermal radiation parameter and rheological parameter. It has been observed that the pressure rise and axial velocity increase with increasing rheological parameter.DOI: http://dx.doi.org/10.5755/j01.mech.23.3.14481
Highlights
Nowadays, the mechanics of nanofluids has forced the recent researchers for the enhancement of thermal conductivity of base fluid
The use of magnetic particles in the treatment of cancer is less focused on the delivery of drugs and more on their use as a new therapeutic concept in which tumor cells are damaged by applying local heat through an external magnetic field
A phenomenon that nanofluids has a characteristic feature of thermal conductivity enhancement, which indicates the possibility of using nanofluids in advanced nuclear systems investigated by Masuda et al [4]
Summary
The mechanics of nanofluids has forced the recent researchers for the enhancement of thermal conductivity of base fluid. The initial study on the peristaltic flow of a nanofluid in a diverging tube is highlighted by Akbar et al [6] They have observed that the pressure rise decreases with the increase in thermophoresis number. The influence of nanofluid characteristics on peristaltic heat transfer in a two dimensional axisymmetric channel was discussed by Tripathi and Anwar Beg [12]. Motivated by the above discussion in mind, it is to highlight the significance of the tapered asymmetric channel conditions with peristaltic flow of Jeffery nanofluid This mathematical model can be viewed as a good application for cervical cancer transport in Cervix blood small vessels. To the best of author’s knowledge, there is no investigation made yet about the effect of thermal radiation and magnetic field on the peristaltic flow of a Jeffrey nanofluid in the tapered asymmetric channel. The effects of various emerging parameters on the flow characteristics are studied in detail with the help of graphs
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