Electro-magneto-hydrodynamic peristaltic pumping of couple stress biofluids through a complex wavy micro-channel

Reddy

et al. 2018

Heat Trans. Asian Res.

In the present article, the transient rheological boundary layer flow over a stretching sheet with heat transfer is investigated, a topic of relevance to non‐Newtonian thermal materials processing. Stokes couple stress model is deployed to simulate non‐Newtonian characteristics. Similarity transformations are utilized to convert the governing partial differential equations into nonlinear ordinary differential equations with appropriate wall and free stream boundary conditions. The nondimensional boundary value problem emerging is shown to be controlled by a number of key thermophysical and rheological parameters, namely the rheological couple stress parameter (β), unsteadiness parameter (A), Prandtl number (Pr), buoyancy parameter (λ). The semi‐analytical differential transform method (DTM) is used to solve the reduced nonlinear coupled ordinary differential boundary value problem. A numerical solution is also obtained via the MATLAB built‐in solver “bvp4c” to validate the results. Further validation with published results from the literature is included. Fluid velocity is enhanced with increasing couple stress parameter, whereas it is decreased with unsteadiness parameter. Temperature is elevated with couple stress parameter, whereas it is initially reduced with unsteadiness parameter. The flow is accelerated with increasing positive buoyancy parameter (for heating of the fluid), whereas it is decelerated with increasing negative buoyancy parameter (cooling of the fluid). Temperature and thermal boundary layer thickness are boosted with increasing positive values of buoyancy parameter. Increasing Prandtl number decelerates the flow, reduces temperatures, increases momentum boundary layer thickness, and decreases thermal boundary layer thickness. Excellent accuracy is achieved with the DTM approach.

Section: Discussionmentioning

confidence: 99%

Application of differential transform method to unsteady free convective heat transfer of a couple stress fluid over a stretching sheet

Reddy

et al. 2018

Heat Trans. Asian Res.

“…Further studies of clinical MHD physiological transport include Saygih et al (hydromagnetic retention systems in prosthodontics in prostheses on buccal mucosal blood flow, Nijm et al (magnetic resonance imaging procedures involving MHD blood flow potential monitoring) and Vallbona et al (magnetic pain therapy). Computational studies of magnetic biofluid dynamics include Mustapha et al (time‐dependent multistenosed arterial flow with a marker and cell code), Tripathi and Bég (unsteady peristaltic thermal hydromagnetic pumping in intestinal dynamics using Mathematica software), Kenjereš and Righolt (magnetic capturing of drug carriers in neurovascular transport), Ardahaie et al (numerical and analytical study of the fluid flow of blood containing nanoparticles in a porous media affected by the magnetic field), Rashidi et al (hemotological magnetic filtration simulation with a differential transform method) and Tripathi et al (electrokinetic and MHD peristaltic microfluidic device simulation). Several researcher have also considered combined heat transfer and fluid flow in industrial flow with MHD, porous medium and other effects which can be seen in Saryazdi et al…”

Section: Introductionmentioning

confidence: 99%

“…(magnetic capturing of drug carriers in neurovascular transport), Ardahaie et al 21 (numerical and analytical study of the fluid flow of blood containing nanoparticles in a porous media affected by the magnetic field), Rashidi et al 22 (hemotological magnetic filtration simulation with a differential transform method) and Tripathi et al 23 (electrokinetic and MHD peristaltic microfluidic device simulation). Several researcher have also considered combined heat transfer and fluid flow in industrial flow with MHD, porous medium and other effects which can be seen in Saryazdi et al [24][25][26][27][28][29][30][31][32] A key feature of many biological liquids which is intrinsic to their proper functionality is rheology.…”

mentioning

confidence: 99%

Adomian decomposition solution for propulsion of dissipative magnetic Jeffrey biofluid in a ciliated channel containing a porous medium with forced convection heat transfer

Manzoor

Maqbool

Bég

et al. 2018

Heat Trans. Asian Res.

Physiological transport phenomena often feature ciliated internal walls. Heat, momentum, and multispecies mass transfer may arise and additionally non‐Newtonian biofluid characteristics are common in smaller vessels. Blood (containing hemoglobin) or other physiological fluids containing ionic constituents in the human body respond to magnetic body forces when subjected to external (extracorporeal) magnetic fields. Inspired by such applications, in the present work we have considered the forced convective flow of an electrically conducting viscoelastic physiological fluid through a ciliated channel under the action of a transverse magnetic field. The presence of deposits (fats, cholesterol, etc.) in the channel is mimicked with a Darcy porous medium drag force model. The effect of energy loss is simulated via the inclusion of viscous dissipation in the energy conservation (heat) equation. The velocity, temperature, and pressure distribution are computed in the form of infinite series constructed by Adomian decomposition method and numerically evaluated in a symbolic software (Mathematica). The influence of Hartmann number (magnetic parameter), Jeffrey first and second viscoelastic parameters, permeability parameter (modified Darcy number), and Brinkman number (viscous heating parameter) on velocity, temperature, pressure gradient, and bolus dynamics is visualized graphically.

“…The exact solutions of eqs. (11)- (14) is obtained under boundary conditions (15)- (17). Equation (13) is used in eq.…”

Section: Analytical Solutionsmentioning

confidence: 99%

“…Extensive studies of MHD peristaltic flows have been communicated and have demonstrated the excellent regulation of bolus growth which is possible with the careful implementation of magnetic fields. Examples of such studies include Misra et al [16] for viscoelastic fluid in a channel with stretching walls and Tripathi et al [17] for Newtonian conducting fluids.…”

Section: Introductionmentioning

confidence: 99%

Biologically inspired transport of solid spherical nanoparticles in an electrically-conducting viscoelastic fluid with heat transfer

et al. 2020

Original scientific paper https://doi.org/10.2298/TSCI180706324ZBio-inspired pumping systems exploit a variety of mechanisms including peristalsis to achieve more efficient propulsion. Non-conducting, uniformly dispersed, spherical nanosized solid particles suspended in viscoelastic medium forms a complex working matrix. Electromagnetic pumping systems often employ complex working fluids. A simulation of combined electromagnetic bio-inspired propulsion is observed in the present article. Currents formation has increasingly more applications in mechanical and medical industry. A mathematical study is conducted for MHD pumping of a bi-phase nanofluid coupled with heat transfer in a planar channel. Two-phase model is employed to separately identity the effects of solid nanoparticles. Base fluid employs Jeffery's model to address viscoelastic characteristics. The model is simplified using long wavelength and creeping flow approximations. The formulation is taken to wave frame and non-dimensionalise the equations. The resulting boundary value problem is solved analytically, and exact expressions are derived for the fluid velocity, particulate velocity, fluid-particle temperature, fluid and particulate volumetric flow rates, axial pressure gradient and pressure rise. The influence of volume fraction density, Prandtl number, Hartmann number, Eckert number, and relaxation time on flow and thermal characteristics is evaluated in detail. The axial flow is accelerated with increasing relaxation time and greater volume fraction whereas it is decelerated with greater Hartmann number. Both fluid and particulate temperature are increased with increment in Eckert and Prandtl numbers, whereas it is reduced when the volume fraction density increases. With increasing Hartmann number pressure rise is reduced.