M. Umeshaiah¹ , M. R. Krishnamurthy² , N.G. Rudraswamy³ , B. J. Gireesha⁴, B.C. Prasannakumara^5,*

Frontiers in Heat and Mass Transfer, Vol.9, pp. 1-8, 2017, DOI:10.5098/hmt.9.4

Abstract This article presents the effect of nonlinear thermal radiation on boundary layer flow and heat transfer of Carreau fluid model over a nonlinear stretching sheet embedded in a porous medium in the presence of non-uniform heat source/sink and viscous dissipation with convective boundary condition. The governing partial differential equations with the corresponding boundary conditions are reduced to a set of ordinary differential equations using similarity transformation, which is then solved numerically by the fourth-fifth order Runge–Kutta-Fehlberg integration scheme featuring a shooting technique. The influence of significant parameters such as power law index parameter, Stretching parameter, Weissenberg number, permeability parameter, temperature… More >

Thirupathi Thumma^a,*, M.D. Shamshuddin^b

Frontiers in Heat and Mass Transfer, Vol.10, pp. 1-12, 2018, DOI:10.5098/hmt.10.5

Abstract This paper numerically investigates the magnetohydrodynamic boundary layer convective flow of an electrically conducting fluid in the presence of buoyancy ratio, heat source, variable magnetic field and radiation over an inclined nonlinear stretching sheet under convective surface boundary conditions. The Rosseland approximation is adopted for thermal radiation effects and the non-uniform magnetic field applied in a transverse direction to the flow. The coupled nonlinear momentum, thermal and species concentration governing boundary layer equations are rendered into a system of third order momentum and second order energy and mass diffusion ordinary differential equations via similarity transformations with appropriate boundary conditions. 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 physiological quantities of interest are… 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 >

Mohammed Z. Swalmeh^*

Frontiers in Heat and Mass Transfer, Vol.18, pp. 1-8, 2022, DOI:10.5098/hmt.18.12

Abstract Heat transfer characteristics for free convection boundary layer flow with a Ferro-hybrid nanofluid in the Casson field, over a stretching sheet, have been numerically investigated and tested. The constant wall temperature boundary condition was applied in this study. The dimensional governing equations were transformed to partial differential equations (PDEs) and then solved numerically by an implicit finite difference scheme known as Keller box method. The Numerical findings were presented by tabular and figures by using MATLAB program. These numerical findings were gained according to considering and analyzing the impacts of Ferro-hybrid nanofluids Casson parameters, on the local skin friction coefficient… More >

Rabha Khatyr^*, Jaafar Khalid Naciri

Frontiers in Heat and Mass Transfer, Vol.19, pp. 1-8, 2022, DOI:10.5098/hmt.19.23

Abstract The aim is to study the asymptotic behavior of the temperature field for the laminar forced convection of a Herschel-Bulkley fluid flowing in a circular duct considering both viscous dissipation and axial heat conduction. The asymptotic bulk and mixing Nusselt numbers and the asymptotic bulk and mixing temperature distribution are evaluated analytically in the cases of uniform wall temperature and convection with an external isothermal fluid. In particular, it has been proved that the fully developed value of Nusselt number for convective boundary conditions is independent of the Biot number and is equal to the value of fully developed Nusselt… More >

Peng Wei¹, Zirun Jiang¹, Weipeng Xu¹, Zhenyu Liu², Yongbo Deng^2,3, Minqiang Pan^4,*

CMES-Computer Modeling in Engineering & Sciences, Vol.136, No.1, pp. 593-619, 2023, DOI:10.32604/cmes.2023.023978

Abstract In this paper, we consider solving the topology optimization for steady-state incompressible Navier-Stokes problems via a new topology optimization method called parameterized level set method, which can maintain a relatively smooth level set function with a local optimality condition. The objective of topology optimization is to find an optimal configuration of the fluid and solid materials that minimizes power dissipation under a prescribed fluid volume fraction constraint. An artificial friction force is added to the Navier-Stokes equations to apply the no-slip boundary condition. Although a great deal of work has been carried out for topology optimization of fluid flow in… More >

Qiuhong Li¹, Wenhao Huang^1,*, Joey Sanchez², Ping Wang¹, Qiang Ding³, Jiufa Wang⁴

CMES-Computer Modeling in Engineering & Sciences, Vol.134, No.3, pp. 2093-2121, 2023, DOI:10.32604/cmes.2022.021340

Abstract Based on Kirchhoff plate theory and the Rayleigh-Ritz method, the model for free vibration of rectangular plate with rectangular cutouts under arbitrary elastic boundary conditions is established by using the improved Fourier series in combination with the independent coordinate coupling method (ICCM). The effect of the cutout is taken into account by subtracting the energies of the cutouts from the total energies of the whole plate. The vibration displacement function of the hole domain is based on the coordinate system of the hole domain in this method. From the continuity condition of the vibration displacement function at the cutout, 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 >

Zhuowan Fan¹, Yancheng Liu¹, Anyu Hong^1,*, Fugang Xu^1,*, Fuzhang Wang²

CMES-Computer Modeling in Engineering & Sciences, Vol.132, No.1, pp. 341-355, 2022, DOI:10.32604/cmes.2022.019715

Abstract In this work, the localized method of fundamental solution (LMFS) is extended to Signorini problem. Unlike the traditional fundamental solution (MFS), the LMFS approximates the field quantity at each node by using the field quantities at the adjacent nodes. The idea of the LMFS is similar to the localized domain type method. The fictitious boundary nodes are proposed to impose the boundary condition and governing equations at each node to formulate a sparse matrix. The inequality boundary condition of Signorini problem is solved indirectly by introducing nonlinear complementarity problem function (NCP-function). Numerical examples are carried out to validate the reliability… More >