Mathematical Analysis on an Asymmetrical Wavy Motion of Blood under the Influence Entropy Generation with Convective Boundary Conditions

In this article, we discuss the entropy generation on the asymmetric peristaltic propulsion of non-Newtonian fluid with convective boundary conditions. The Williamson fluid model is considered for the analysis of flow properties. The current fluid model has the ability to reveal Newtonian and non-Newtonian behavior. The present model is formulated via momentum, entropy, and energy equations, under the approximation of small Reynolds number and long wavelength of the peristaltic wave. A regular perturbation scheme is employed to obtain the series solutions up to third-order approximation. All the leading parameters are discussed with the help of graphs for entropy and temperature profiles. The irreversibility process is also discussed with the help of Bejan number. Streamlines are plotted to examine the trapping phenomena. Results obtained provide an excellent benchmark for further study on the entropy production with mass transfer and peristaltic pumping mechanism.

[1]  Ahmed Zeeshan,et al.  Peristaltic Blood Flow of Couple Stress Fluid Suspended with Nanoparticles under the Influence of Chemical Reaction and Activation Energy , 2019, Symmetry.

[2]  Jafar Ghorbanian,et al.  A phenomenological continuum model for force-driven nano-channel liquid flows. , 2016, The Journal of chemical physics.

[3]  Ahmed Zeeshan,et al.  Entropy Analysis on Electro-Kinetically Modulated Peristaltic Propulsion of Magnetized Nanofluid Flow through a Microchannel , 2017, Entropy.

[4]  G. C. Shit,et al.  Entropy generation on electro-osmotic flow pumping by a uniform peristaltic wave under magnetic environment , 2017 .

[5]  I. Aoki,et al.  Entropy flow and entropy production in the human body in basal conditions. , 1989, Journal of theoretical biology.

[6]  Adrian Bejan,et al.  The tree of convective heat streams: its thermal insulation function and the predicted 3/4-power relation between body heat loss and body size , 2001 .

[7]  A. Bejan Constructal theory: from thermodynamic and geometric optimization to predicting shape in nature , 1998 .

[8]  Carlos Silva,et al.  Entropy Generation and Human Aging: Lifespan Entropy and Effect of Physical Activity Level , 2008, Entropy.

[9]  Guven Komurgoz,et al.  Analysis of the Magnetic Effect on Entropy Generation in an Inclined Channel Partially Filled with a Porous Medium , 2012 .

[10]  Truong Vo,et al.  Viscous heating and temperature profiles of liquid water flows in copper nanochannel , 2019, Journal of Mechanical Science and Technology.

[11]  N. Akbar,et al.  Endoscopic Effects with Entropy Generation Analysis in Peristalsis for the Thermal Conductivity of Nanofluid , 2016 .

[12]  Mohammad Mehdi Rashidi,et al.  Magnetohydrodynamic biorheological transport phenomena in a porous medium: A simulation of magnetic blood flow control and filtration , 2011 .

[13]  Mohammad Mehdi Rashidi,et al.  Analysis of Entropy Generation in the Flow of Peristaltic Nanofluids in Channels With Compliant Walls , 2016, Entropy.

[14]  K. Mekheimer,et al.  Entropy hemodynamics particle-fluid suspension model through eccentric catheterization for time-variant stenotic arterial wall: Catheter injection , 2019, International Journal of Geometric Methods in Modern Physics.

[15]  Azizur Rahman A novel method for estimating the entropy generation rate in a human body , 2007 .

[16]  G. C. Shit,et al.  Numerical investigation of MHD flow of blood and heat transfer in a stenosed arterial segment , 2017 .

[17]  Mohammad Mehdi Rashidi,et al.  Entropy Generation on MHD Blood Flow of Nanofluid Due to Peristaltic Waves , 2016, Entropy.

[18]  Mohammad Mehdi Rashidi,et al.  Investigation of entropy generation in MHD and slip flow over a rotating porous disk with variable properties , 2014 .

[19]  Kalyan Annamalai,et al.  Entropy Generation and Human Aging: Lifespan Entropy and Effect of Diet Composition and Caloric Restriction Diets , 2009 .

[20]  Dharmendra Tripathi,et al.  Peristaltic Pumping of Nanofluids through a Tapered Channel in a Porous Environment: Applications in Blood Flow , 2019, Symmetry.

[21]  N. Akbar,et al.  Peristaltic flow with thermal conductivity of H2O + Cu nanofluid and entropy generation , 2015 .