Yasir Khan¹, Safia Akram^2,*, Maria Athar³, Khalid Saeed⁴, Alia Razia², A. Alameer¹

CMES-Computer Modeling in Engineering & Sciences, Vol.138, No.2, pp. 1501-1520, 2024, DOI:10.32604/cmes.2023.029878 - 17 November 2023

Abstract The application of mathematical modeling to biological fluids is of utmost importance, as it has diverse applications in medicine. The peristaltic mechanism plays a crucial role in understanding numerous biological flows. In this paper, we present a theoretical investigation of the double diffusion convection in the peristaltic transport of a Prandtl nanofluid through an asymmetric tapered channel under the combined action of thermal radiation and an induced magnetic field. The equations for the current flow scenario are developed, incorporating relevant assumptions, and considering the effect of viscous dissipation. The impact of thermal radiation and double… More >

Hina Zahir^*

FDMP-Fluid Dynamics & Materials Processing, Vol.19, No.6, pp. 1507-1519, 2023, DOI:10.32604/fdmp.2023.022520 - 30 January 2023

Abstract The interaction of nanoparticles with a peristaltic flow is analyzed considering a Prandtl-Eyring fluid under various conditions, such as the presence of a heat source/sink and slip effects in channels with a curvature. This problem has extensive background links with various fields in medical science such as chemotherapy and more in general nanotechnology. A similarity transformation is used to turn the original balance equations into a set of ordinary differential equations, which are then integrated numerically. The investigation reveals that nanofluids have valuable thermal capabilitises. More >

Hanan S. Gafel^*

CMC-Computers, Materials & Continua, Vol.72, No.3, pp. 6141-6153, 2022, DOI:10.32604/cmc.2022.017378 - 21 April 2022

Abstract Magnetic field and the fractional Maxwell fluids’ impacts on peristaltic flows within a circular cylinder tube with heat transfer was evaluated while assuming that they are preset with a low-Reynolds number and a long wavelength. Utilizing, the fractional calculus method, the problem was solved analytically. It was deduced for temperature, axial velocity, tangential stress, and heat transfer coefficient. Many emerging parameters and their effects on the aspects of the flow were illustrated, and the outcomes were expressed via graphs. A special focus was dedicated to some criteria, such as the wave amplitude's effect, Hartman and More >

Safia Akram^*, Alia Razia

CMES-Computer Modeling in Engineering & Sciences, Vol.127, No.3, pp. 901-922, 2021, DOI:10.32604/cmes.2021.014469 - 24 May 2021

Abstract This article brings into focus the hybrid effects of thermal and concentration convection on peristaltic pumping of fourth grade nanofluids in an inclined tapered channel. First, the brief mathematical modelling of the fourth grade nanofluids is provided along with thermal and concentration convection. The Lubrication method is used to simplify the partial differential equations which are tremendously nonlinear. Further, analytical technique is applied to solve the differential equations that are strongly nonlinear in nature, and exact solutions of temperature, volume fraction of nanoparticles, and concentration are studied. Numerical and graphical findings manifest the influence of More >

Z. Z. Rashed¹, Sameh E. Ahmed^2,*

CMC-Computers, Materials & Continua, Vol.66, No.1, pp. 1012-1026, 2021, DOI:10.32604/cmc.2020.012468 - 30 October 2020

Abstract In this paper, numerical investigations for peristaltic motion of dusty nanofluids in a curved channel are performed. Two systems of partial differential equations are presented for the nanofluid and dusty phases and then the approximations of the long wave length and low Reynolds number are applied. The physical domain is transformed to a rectangular computational model using suitable grid transformations. The resulting systems are solved numerically using shooting method and mathematical forms for the pressure distributions are introduced. The controlling parameters in this study are the thermal buoyancy parameter Gr, the concentration buoyancy parameter Gc, the More >

C. Rajashekhar^a , G. Manjunatha^a,† , Hanumesh Vaidya^b , B. B. Divya^a , K. V. Prasad^c

Frontiers in Heat and Mass Transfer, Vol.11, pp. 1-8, 2018, DOI:10.5098/hmt.11.35

Abstract The primary objective of this paper is to examine the impact of variable viscosity and thermal conductivity on peristaltic transport of Casson liquid in a convectively heated inclined porous tube. The viscosity differs over the radial axis, and temperature dependent thermal conductivity is taken into account. The perturbation technique is utilized to solve the governing nonlinear equations under the assumption of long wavelength and small Reynolds number. The analytical solutions are obtained for velocity, streamlines, pressure rise, frictional force, and temperature when subjected to slip and convective boundary conditions. The impacts of related parameters on More >

S. Ravi Kumar^* , S. K. Abzal

Frontiers in Heat and Mass Transfer, Vol.9, pp. 1-9, 2017, DOI:10.5098/hmt.9.19

Abstract The aim of the present attempt is hall currents and joule heating on peristaltic blood flow in porous medium through a vertical tapered asymmetric channel under the influence of radiation. The Mathematical modeling is investigated by utilizing long wavelength and low Reynolds number assumptions. The indicates an appreciable increase in the axial velocity distribution with increase in hall current parameter and porosity parameter whereas the result in axial velocity distribution diminished by increase in magnetic field parameter. The result in pressure gradient reduces by rise in hall current parameter, porosity parameter and volumetric flow rate. More >