A. Shahzad¹, W. A. Khan^2,*, R. Gul¹, B. Dayyan¹, M. Zubair¹

CMC-Computers, Materials & Continua, Vol.68, No.3, pp. 3877-3893, 2021, DOI:10.32604/cmc.2021.012524 - 06 May 2021

Abstract In this work, a steady, incompressible Williamson fluid model is investigated in a porous wavy channel. This situation arises in the reabsorption of useful substances from the glomerular filtrate in the kidney. After 80% reabsorption, urine is left, which behaves like a thinning fluid. The laws of conservation of mass and momentum are used to model the physical problem. The analytical solution of the problem in terms of stream function is obtained by a regular perturbation expansion method. The asymptotic integration method for small wave amplitudes and the RK-Fehlberg method for pressure distribution has been… More >

CH. Amanulla^a,b,*, N. Nagendra^b , M. Suryanarayana Reddy^c

Frontiers in Heat and Mass Transfer, Vol.10, pp. 1-13, 2018, DOI:10.5098/hmt.10.10

Abstract The present study deals with the computational analysis on an electrically conducting magneto viscoelastic fluid over a circular cylinder. Prescribed partial slip effects are also taken into account. The governing physical problem is tackled numerically by using the highly efficient and reliable Keller box algorithm. Impact of sundry physical parameters on physical quantities of interest are evaluated. The influence of Williamson viscoelastic fluid parameter, magnetic body force parameter, Thermal and velocity (hydrodynamic) slip parameters, stream wise variable and Prandtl number on thermos-fluid characteristics are studied graphically. The model is relevant to the simulation of magnetic More >

CH. Amanulla^a,b,* , N. Nagendra^a , M. Suryanarayana Reddy^b

Frontiers in Heat and Mass Transfer, Vol.8, pp. 1-11, 2017, DOI:10.5098/hmt.8.40

Abstract A theoretical and computational study of the magneto hydrodynamic flow and free convection heat transfer in an electro-conductive polymer on the external surface of a vertical permeable cone under radial magnetic field is presented. Thermal and velocity (hydrodynamic) slip are considered at the vertical permeable cone surface via modified boundary conditions. The Williamson viscoelastic model is employed which is representative of certain industrial polymers. The non-dimensional, transformed boundary layer equations for momentum and energy are solved with the second order accurate implicit Keller box finite difference method under appropriate boundary conditions. Validation of the numerical… More >

CH. Amanulla^a,b,* , N. Nagendra^a , M. Suryanarayana Reddy^b

Frontiers in Heat and Mass Transfer, Vol.9, pp. 1-9, 2017, DOI:10.5098/hmt.9.22

Abstract In this article, the combined theoretical and computational study of the magneto hydrodynamic heat transfer in an electro-conductive polymer on the external surface of a vertical truncated cone under radial magnetic field is presented. Thermal and velocity (hydrodynamic) slip are considered at the vertical truncated cone surface via modified boundary conditions. The Williamson viscoelastic model is employed which is representative of certain industrial polymers. The governing partial differential equations (PDEs) are transformed into highly nonlinear, coupled, multi-degree non-similar partial differential equations consisting of the momentum and energy equations via appropriate non-similarity transformations. These transformed conservation More >

Md. Shakhaoath Khan^a,*, Md. Mizanur Rahman^a,b, S.M. Arifuzzaman^c , Pronab Biswas^c , Ifsana Karim^a

Frontiers in Heat and Mass Transfer, Vol.9, pp. 1-11, 2017, DOI:10.5098/hmt.9.15

Abstract A two-dimensional (2D) flow of an incompressible Williamson fluid of Cattaneo–Christov heat flux type over a linearly stretched surface with the influence of magnetic field, thermal radiation-diffusion, heat generation and viscous dissipation is carried out in the present study. To develop a Williamson flow model, a boundary layer approximation is taken into account. The non-dimensional, nonlinear, coupled ordinary differential equations with boundary condition are solved numerically using Nactsheim-Swigert shooting iteration technique together with Runge-Kutta six order iteration scheme. The influences of physical parameters on the velocity, temperature, concentration is analysed through graphical consequences. To validate More >