Haris Alam Zuberi¹, Madan Lal¹, Shivangi Verma¹, Nurul Amira Zainal^2,3,*

CMES-Computer Modeling in Engineering & Sciences, Vol.141, No.2, pp. 1137-1163, 2024, DOI:10.32604/cmes.2024.055493 - 27 September 2024

Abstract Motivated by the widespread applications of nanofluids, a nanofluid model is proposed which focuses on uniform magnetohydrodynamic (MHD) boundary layer flow over a non-linear stretching sheet, incorporating the Casson model for blood-based nanofluid while accounting for viscous and Ohmic dissipation effects under the cases of Constant Surface Temperature (CST) and Prescribed Surface Temperature (PST). The study employs a two-phase model for the nanofluid, coupled with thermophoresis and Brownian motion, to analyze the effects of key fluid parameters such as thermophoresis, Brownian motion, slip velocity, Schmidt number, Eckert number, magnetic parameter, and non-linear stretching parameter on… More > Graphic Abstract

Aaqib Majeed^1,*, Ahmad Zeeshan²

FDMP-Fluid Dynamics & Materials Processing, Vol.20, No.3, pp. 525-536, 2024, DOI:10.32604/fdmp.2023.028716 - 12 January 2024

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 More >

G. Dharmaiah¹, F. Mebarek-Oudina^2,*, K. S. Balamurugan³, N. Vedavathi⁴

FDMP-Fluid Dynamics & Materials Processing, Vol.20, No.2, pp. 293-310, 2024, DOI:10.32604/fdmp.2023.030325 - 14 December 2023

Abstract The effects of a magnetic dipole on a nonlinear thermally radiative ferromagnetic liquid flowing over a stretched surface in the presence of Brownian motion and thermophoresis are investigated. By means of a similarity transformation, ordinary differential equations are derived and solved afterwards using a numerical (the BVP4C) method. The impact of various parameters, namely the velocity, temperature, concentration, is presented graphically. It is shown that the nanoparticles properties, in conjunction with the magnetic dipole effect, can increase the thermal conductivity of the engineered nanofluid and, consequently, the heat transfer. Comparison with earlier studies indicates high More > Graphic Abstract

S. Mohammed Ibrahim¹, P. Vijaya Kumar², G. Lorenzini^3,*

FDMP-Fluid Dynamics & Materials Processing, Vol.19, No.4, pp. 855-868, 2023, DOI:10.32604/fdmp.2022.019796 - 02 November 2022

Abstract In this study, a radiative MHD stagnation point flow over a nonlinear stretching sheet incorporating thermophoresis and Brownian motion is considered. Using a similarity method to reshape the underlying Partial differential equations into a set of ordinary differential equations (ODEs), the implications of heat generation, and chemical reaction on the flow field are described in detail. Moreover a Homotopy analysis method (HAM) is used to interpret the related mechanisms. It is found that an increase in the magnetic and velocity exponent parameters can damp the fluid velocity, while thermophoresis and Brownian motion promote specific thermal More >

Qingqing Li^1,2, Zhiwen Duan^1,2,*, Dandan Yang^1,2

CMES-Computer Modeling in Engineering & Sciences, Vol.135, No.1, pp. 155-168, 2023, DOI:10.32604/cmes.2022.019249 - 29 September 2022

Abstract With the development of molecular imaging, Cherenkov optical imaging technology has been widely concerned. Most studies regard the partial boundary flux as a stochastic variable and reconstruct images based on the steadystate diffusion equation. In this paper, time-variable will be considered and the Cherenkov radiation emission process will be regarded as a stochastic process. Based on the original steady-state diffusion equation, we first propose a stochastic partial differential equation model. The numerical solution to the stochastic partial differential model is carried out by using the finite element method. When the time resolution is high enough, More >

Fadia Ali Khan¹, Jameel Ahmed¹, Fehaid Alqahtani², Suliman A. Alsuhibany³, Fawad Ahmed⁴, Jawad Ahmad^5,*

CMC-Computers, Materials & Continua, Vol.73, No.1, pp. 279-294, 2022, DOI:10.32604/cmc.2022.028789 - 18 May 2022

Abstract In this paper, we present an image encryption scheme based on the multi-stage chaos-based image encryption algorithm. The method works on the principle of confusion and diffusion. The proposed scheme containing both confusion and diffusion modules are highly secure and effective as compared to the existing schemes. Initially, an image (red, green, and blue components) is partitioned into blocks with an equal number of pixels. Each block is then processed with Tinkerbell Chaotic Map (TBCM) to get shuffled pixels and shuffled blocks. Composite Fractal Function (CFF) change the value of pixels of each color component More >

Kazem Nouri^1,*, Milad Fahimi¹, Leila Torkzadeh¹, Dumitru Baleanu^2,3

CMC-Computers, Materials & Continua, Vol.72, No.1, pp. 1495-1514, 2022, DOI:10.32604/cmc.2022.024406 - 24 February 2022

Abstract The novel Coronavirus COVID-19 emerged in Wuhan, China in December 2019. COVID-19 has rapidly spread among human populations and other mammals. The outbreak of COVID-19 has become a global challenge. Mathematical models of epidemiological systems enable studying and predicting the potential spread of disease. Modeling and predicting the evolution of COVID-19 epidemics in near real-time is a scientific challenge, this requires a deep understanding of the dynamics of pandemics and the possibility that the diffusion process can be completely random. In this paper, we develop and analyze a model to simulate the Coronavirus transmission dynamics… More >

S. M. Atif¹, W. A. Khan^2,*, Muhammad Abbas^3,*, Umair Rashid⁴

CMES-Computer Modeling in Engineering & Sciences, Vol.130, No.1, pp. 205-220, 2022, DOI:10.32604/cmes.2022.017304 - 29 November 2021

Abstract In this numerical study, the effect of quartic autocatalysis type of chemical reaction, buoyancy force and thermal radiation phenomenon and magnetic effect on tangent hyperbolic nanofluid past an upper horizontal surface of a paraboloid has been studied. By considering the Buongiorno model approach, a diffusion of unequal coefficients in the presence of gyrotactic microorganism is discussed. Implementation of microorganism's idea is used to stabilize the nanoparticles through bioconvection. The modeled PDEs of the problems are converted into nonlinear ODEs with the assistant of the similarity transformations. To tackle nonlinear ODEs, MATLAB package bvp4c is used. More >

Stanford Shateyi^a,∗, Hillary Muzara^b

Frontiers in Heat and Mass Transfer, Vol.14, pp. 1-10, 2020, DOI:10.5098/hmt.14.18

Abstract A theoretical analysis has been carried out to investigate the influence of unsteadiness on the laminar two-phase magnetohydrodynamic nanofluid flow filled with porous medium under the combined effects of Brownian motion and thermophoresis. Thermal variable conductivity, thermal radiation and viscous dissipation effects are also considered in this numerical study. The highly nonlinear partial differential equations are transformed into a set of coupled nonlinear ordinary differential equations through suitable similarity transformations. The resultant ordinary differential equations are then numerically solved using the spectral quasilinearization method. The effects of the pertinent physical parameters over the fluid velocity, More >

N. Vijaya^a,*, Sunil Babu G^b , Vellanki Lakshmi N^c

Frontiers in Heat and Mass Transfer, Vol.15, pp. 1-8, 2020, DOI:10.5098/hmt.15.23

Abstract Present investigation aims at scrutinizing the properties of heat and mass transfer phenomena of liquid thin film of Casson Nano fluid over elongated sheet under the influence of thermophorosis and Brownian motion. Casson Nano particle effect on thermophorotic force and on Brownian force is studied. Variables of similarity were induced to transmute partial differential equations into dimensionless equations and are resolved numerically by elegant method bvp 4c. Thin film thickness is calculated using MATHEMATICA for different values of critical parameters. Velocity profiles diminishes for higher values of Casson parameter and magnetic field parameter. The temperature More >