B. Rushi Kumar^* , T. Sravan Kumar, A .G Vijaya Kumar

Frontiers in Heat and Mass Transfer, Vol.6, pp. 1-9, 2015, DOI:10.5098/hmt.6.12

Abstract The objective of this study is to investigated thermal diffusion and radiation effects on unsteady free convection chemically reacting fluid flow past an accelerated infinite inclined plate with variable temperature and mass diffusion under the influence of uniform transverse magnetic field when the magnetic lines of force are fixed relative to the fluid or to the plate studied in two cases, (i) when magnetic field fixed relative to the fluid (K=0), (ii) and the magnetic field fixed relative to the plate (K=1) have been considered. A general exact solution of the dimensionless governing partial differential equation is obtained by the… More >

K. Kaladhar^a,∗, D. Srinivasacharya^b

Frontiers in Heat and Mass Transfer, Vol.7, pp. 1-10, 2016, DOI:10.5098/hmt.7.6

Abstract This present investigation carried out the effects of Hall current, Joule heating and the thermal diffusion on mixed convection flow of electrically conducting couple stress fluid in a vertical channel saturated with porous medium. The final system of ordinary differential equations are obtained from the governing non-linear partial differential equations by using the similarity transformations. Homotopy Analysis Method has been used to solve the non-linear system. The average residue errors of the HAM solutions are presented through graphs. The influence of the emerging parameters (Hall, Soret, magnetic and the couple stress parameters) on velocity, temperature and concentration profiles are presented… More >

L. Ramamohan Reddy^a , M. C. Raju^b,*, G.S.S. Raju^c, N. A. Reddy^b

Frontiers in Heat and Mass Transfer, Vol.7, pp. 1-12, 2016, DOI:10.5098/hmt.7.20

Abstract This investigation presents an analytical study on magnetohydrodynamic (MHD), convective flow of a viscoelastic, incompressible, radiative, chemically reactive, electrically conducting and rotating fluid through a porous medium filled in a vertical channel in the presence of thermal diffusion. A magnetic field of uniform strength is applied along the axis of rotation. The fluid is assumed to act on with a periodic time variation of the pressure gradient in upward direction vertically. One of the plates is maintained at non-uniform temperature and the temperature difference of the walls of the channel is assumed high enough that induces heat transfer due to… More >

J. K. Singh^a,*, N. Joshi^a , S. G. Begum^a, C. T. Srinivasa^b

Frontiers in Heat and Mass Transfer, Vol.7, pp. 1-12, 2016, DOI:10.5098/hmt.7.24

Abstract In the present analytical study, we have considered unsteady hydromagnetic heat and mass transfer natural convection flow of an electrically conducting, heat absorbing and chemically reacting fluid past an exponentially accelerated vertical plate in a uniform porous medium taking Hall current and rotation into account. The species concentration near the plate is considered to be varies linearly with time. Two particular cases for plate temperature are considered i.e. (i) plate temperature is uniform and (ii) plate temperature varies linearly with time and after some time it is maintained at uniform temperature. The coupled partial differential equations governing the fluid flow… More >

P. Chandra Reddy¹, M.C. Raju^1,*, G.S.S. Raju², S.V.K. Varma³

Frontiers in Heat and Mass Transfer, Vol.7, pp. 1-11, 2016, DOI:10.5098/hmt.7.28

Abstract The present analysis is focused on free convective heat and mass transfer characteristics of magneto-nanofluid flow through a moving vertical plate in the presence of thermal radiation and thermal diffusion. The water-based nanofluid containing copper is taken into consideration. A uniform magnetic field is applied perpendicular to the plate. The governing equations are solved by applying finite difference method. Numerical results of the fluid velocity, temperature, concentration, shear stress, rate of heat transfer and rate of mass transfer are presented graphically for different values of the physical parameters encountered in the problem. It is noticed that the fluid velocity increases… More >

Tao Hu¹, Cheng Huang², Sergiy Reutskiy^3,*, Jun Lu⁴, Ji Lin^5,*

CMES-Computer Modeling in Engineering & Sciences, Vol.138, No.2, pp. 1521-1548, 2024, DOI:10.32604/cmes.2023.030449

Abstract A novel accurate method is proposed to solve a broad variety of linear and nonlinear (1+1)-dimensional and (2+1)- dimensional multi-term time-fractional partial differential equations with spatial operators of anisotropic diffusivity. For (1+1)-dimensional problems, analytical solutions that satisfy the boundary requirements are derived. Such solutions are numerically calculated using the trigonometric basis approximation for (2+1)-dimensional problems. With the aid of these analytical or numerical approximations, the original problems can be converted into the fractional ordinary differential equations, and solutions to the fractional ordinary differential equations are approximated by modified radial basis functions with time-dependent coefficients. An efficient backward substitution strategy that… More >

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

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 diffusion on public health is… More >

Naima Krarraz^1,*, Amina Sabeur¹, Khadidja Safer², Ahmed Ouadha¹

FDMP-Fluid Dynamics & Materials Processing, Vol.20, No.1, pp. 79-96, 2024, DOI:10.32604/fdmp.2023.026238

Abstract Any biogas produced by the anaerobic fermentation of organic materials has the advantage of being an environmentally friendly biofuel. Nevertheless, the relatively low calorific value of such gases makes their effective utilization in practical applications relatively difficult. The present study considers the addition of hydrogen as a potential solution to mitigate this issue. In particular, the properties of turbulent diffusion jet flames and the related pollutant emissions are investigated numerically for different operating pressures. The related numerical simulations are conducted by solving the RANS equations in the frame of the Reynolds Stress Model in combination with the flamelet approach. Radiation… More > Graphic Abstract

Yan Hong^1,2, Shihui Fang^2,*, Jingming Su², Wanqiu Xu², Yuhao Wei², Juan Wu², Zhen Yang^1,3,*

CMC-Computers, Materials & Continua, Vol.77, No.1, pp. 139-160, 2023, DOI:10.32604/cmc.2023.043424

Abstract In today’s information society, image encryption technology is crucial to protecting Internet security. However, traditional image encryption algorithms have problems such as insufficient chaotic characteristics, insufficient randomness of keys, and insecure Ribonucleic Acid (RNA) encoding. To address these issues, a chaos-RNA encryption scheme that combines chaotic maps and RNA encoding was proposed in this research. The initial values and parameters of the chaotic system are first generated using the Secure Hash Algorithm 384 (SHA-384) function and the plaintext image. Next, the Lü hyperchaotic system sequence was introduced to change the image’s pixel values to realize block scrambling, and further disturbance… More > Graphic Abstract

Fengxian Liu^1,*, Alan Cocks², Edmund Tarleton²

The International Conference on Computational & Experimental Engineering and Sciences, Vol.27, No.1, pp. 1-1, 2023, DOI:10.32604/icces.2023.09495

Abstract Diffusion of material has a crucial influence on dislocation motion, particularly at elevated temperatures. It is generally believed that, in a single crystal, lattice diffusion prevails when the temperature is high and core diffusion dominates at relatively low temperatures. Due to the complexity of modelling the coupling between core and lattice diffusion, a given physical problem is often simplified into two extremes where only one of the two diffusion regimes is considered. However, a quantitative definition of the condition under which each of the diffusion mechanisms is dominant is still lacking. In the present work, we employ a variational principle… More >