Aaqib Majeed^1,*, Ahmad Zeeshan²

FDMP-Fluid Dynamics & Materials Processing, Vol.20, No.3, pp. 525-536, 2024, DOI:10.32604/fdmp.2023.028716

Abstract The influence of Brownian motion and thermophoresis on a fluid containing nanoparticles flowing over a stretchable cylinder is examined. The classical Navier-Stokes equations are considered in a porous frame. In addition, the Lorentz force is taken into account. The controlling coupled nonlinear partial differential equations are transformed into a system of first order ordinary differential equations by means of a similarity transformation. The resulting system of equations is solved by employing a shooting approach properly implemented in MATLAB. The evolution of the boundary layer and the growing velocity is shown graphically together with the related profiles of concentration and temperature.… More >

P. R. Sharma^a , Sushila Choudhary^a,* , O. D. Makinde^b

Frontiers in Heat and Mass Transfer, Vol.9, pp. 1-7, 2017, DOI:10.5098/hmt.9.18

Abstract Steady two dimensional laminar magnetohydrodynamic (MHD) slip flow and heat transfer of a viscous incompressible and electrically conducting fluid past over a flat exponentially non-conducting stretching porous sheet embedded in a porous medium with non uniform permeability in the presence of non uniform heat source is investigated. The governing equations of velocity and temperature distributions are solved numerically and the effects of different physical parameters are shown through graphs. The rate of shear stress and the rate of heat transfer at the sheet are derived, discussed numerically and their numerical values for various values of physical parameters are presented through… More >

S.R.R. Reddy^a , P. Bala Anki Reddy^a,*

Frontiers in Heat and Mass Transfer, Vol.10, pp. 1-11, 2018, DOI:10.5098/hmt.10.13

Abstract The main object of this paper is to steady the Bio-mathematical analysis for the stagnation point flow over a non-linear stretching sheet with the velocity slip and Casson fluid model. Analysis for the both titanium and titanium alloy within the pure blood as taken as the base fluid. The governing non-linear partial differential equations are transformed into ordinary which are solved numerically by utilizing the fourth order RungeKutta method with shooting technique. Graphical results have been presented for dimensionless stream function, velocity profile, shear stress, temperature profile for various physical parameters of interest. It was found that the velocity profile… 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 physiological quantities of interest are… More >

P. Bala Anki Reddy^a , B. Mallikarjuna^b,*,K. Madhu Sudhan Reddy^a

Frontiers in Heat and Mass Transfer, Vol.11, pp. 1-10, 2018, DOI:10.5098/hmt.11.5

Abstract In this paper, a mathematical model has been developed to analyze the double diffusive convective flow of Casson fluid over an inclined stretching sheet with Cattaneo-Christov Heat Flux model. The velocity slip is considered over the surface of the stretching sheet as well. The governing equations for the pertinent model are transformed into non-dimensional highly coupled nonlinear differential equations using similarity transformations. The implicit finite difference method is used to carry out the numerical results and presented the graphs for different values of the physical parameter, Casson fluid parameter, and thermal relation time parameter, chemical reaction parameter for the cases… More >

T. Sajid^† , M. Sagheer, S. Hussain

Frontiers in Heat and Mass Transfer, Vol.14, pp. 1-12, 2020, DOI:10.5098/hmt.14.28

Abstract The forthright aim of this correspondence is to examine the conduct of MHD, viscous dissipation and Joule heating on three dimensional nonNewtonian Carreau fluid flow over a linear stretching surface. Impact of non-linear Rosseland thermal radiation and homogenous/heterogenous reaction process have been also considered to examine the heat and mass transfer process during fluid flow. The velocity and thermal slip effect at the surface have also been scrutinized in detail. By utilizing a suitable transformation, the modelled partial differential equations (PDEs) are renovated into ordinary differential equations (ODEs) and furthermore solved with the help of the numerical procedure namely the… More >

Umair Khan^1,2, Aurang Zaib³, Anuar Ishak¹, Iskandar Waini⁴, El-Sayed M. Sherif⁵, Dumitru Baleanu^6,7,8,*

CMES-Computer Modeling in Engineering & Sciences, Vol.134, No.2, pp. 1371-1392, 2023, DOI:10.32604/cmes.2022.020911

Abstract The utilization of solar energy is essential to all living things since the beginning of time. In addition to being a constant source of energy, solar energy (SE) can also be used to generate heat and electricity. Recent technology enables to convert the solar energy into electricity by using thermal solar heat. Solar energy is perhaps the most easily accessible and plentiful source of sustainable energy. Copper-based nanofluid has been considered as a method to improve solar collector performance by absorbing incoming solar energy directly. The goal of this research is to explore theoretically the Agrawal axisymmetric flow induced by… More >

Naeem Faraz^{1, *}, Yasir Khan², Amna Anjum¹, Anwar Hussain³

CMES-Computer Modeling in Engineering & Sciences, Vol.122, No.3, pp. 1099-1118, 2020, DOI:10.32604/cmes.2020.08389

Abstract Current research is about the injection of a viscous fluid in the presence of a transverse uniform magnetic field to reduce the sliding drag. There is a slip-on both the slider and the ground in the two cases, for example, a long porous slider and a circular porous slider. By utilizing similarity transformation Navier-Stokes equations are converted into coupled equations which are tackled by Integral Transform Method. Solutions are obtained for different values of Reynolds numbers, velocity slip, and magnetic field. We found that surface slip and Reynolds number has a substantial influence on the lift and drag of long… More >

Muhammad Shoaib Arif ^{1, *}, Yasir Nawaz¹, Mairaj Bibi², Zafar Ali¹

CMES-Computer Modeling in Engineering & Sciences, Vol.116, No.1, pp. 31-49, 2018, DOI: 10.31614/cmes.2018.00434

Abstract This communiqué is opted to study the flow of nanofluid because of heated disk rotation subjected to the convective boundaries with chemical reaction of first order. Wherein Buongiorno’s model for nanofluids is used due to its wide range of applications and the rotating disk under investigation is permeable. Small magneto Reynolds parameter and boundary layer assumptions are carried out to formulate the problem. The system of nonlinear partial differential equations governing the flow problem is converted into the set of ordinary differential equations by using particular relations known as Von Karman transformations. The complicated set of coupled ordinary differential equations… More >