P. Madhu Sravanthi^a,b, M. Radha Madhavi^a,*

Frontiers in Heat and Mass Transfer, Vol.19, pp. 1-9, 2022, DOI:10.5098/hmt.19.40

Abstract In this paper, reaction of magnetic field and activation energy is applied on nanoparticles and swimming gyrotactic microorganisms under the viscous dissipation is inspecting. The effect of thermophoresis and Brownian motion is also considered. The PDEs are naturalized into ODEs by using similarity transformations. To solving the PDEs by using RK-Fehlberg with shooting approach by MATLAB software. The effect of magnetic parameter, Schmidt number, Prandtl number, Brownian motion, thermophoresis, Peclet number, porosity parameter, on velocity, temperature, concentration, motile microorganism density portrait is in detailed it is discussed and the eventualities are demonstrated in graphs. The effects of these factors on… More >

P.S.S. Nagalakshmi, N. Vijaya^*

Frontiers in Heat and Mass Transfer, Vol.19, pp. 1-18, 2022, DOI:10.5098/hmt.19.17

Abstract The main emphasis of this study is to examine the entropy generation of the spatial-temporal state of Bingham visco-plastic nanofluid flow between parallel plates are solved numerically using adequate similarity solutions. Python with BVP solver is used to interpret the results of the adopted model. Heat and mass transfer rate with respect to yield stress was investigated. The results report that the entopy generation of nanofluids exploring single and multiwalled carbon nanotubes dims with the increasing local thermal Peclet number nearer the lower and upper plates. Researchers have established that entropy generation can be reduced by increasing Fourier’s number (Fe)… More >

Tohid Adibi¹, Shams Forruque Ahmed^2,*, Seyed Esmail Razavi³, Omid Adibi⁴, Irfan Anjum Badruddin⁵, Syed Javed⁵

CMC-Computers, Materials & Continua, Vol.74, No.3, pp. 5123-5139, 2023, DOI:10.32604/cmc.2023.034008

Abstract The numerical solution of compressible flows has become more prevalent than that of incompressible flows. With the help of the artificial compressibility approach, incompressible flows can be solved numerically using the same methods as compressible ones. The artificial compressibility scheme is thus widely used to numerically solve incompressible Navier-Stokes equations. Any numerical method highly depends on its accuracy and speed of convergence. Although the artificial compressibility approach is utilized in several numerical simulations, the effect of the compressibility factor on the accuracy of results and convergence speed has not been investigated for nanofluid flows in previous studies. Therefore, this paper… More >

Umair Rashid¹, Azhar Iqbal^2,*, Abdullah M. Alsharif³

CMES-Computer Modeling in Engineering & Sciences, Vol.134, No.1, pp. 483-494, 2023, DOI:10.32604/cmes.2022.020033

Abstract In this paper, we discussed the effect of nanoparticles shape on bioconvection nanofluid flow over the vertical cone in a permeable medium. The nanofluid contains water, Al₂O₃ nanoparticles with sphere (spherical) and lamina (non-spherical) shapes and motile microorganisms. The phenomena of heat absorption/generation, Joule heating and thermal radiation with chemical reactions have been incorporated. The similarity transformations technique is used to transform a governing system of partial differential equations into ordinary differential equations. The numerical bvp4c MATLAB program is used to find the solution of ordinary differential equations. The interesting aspects of pertinent parameters on mass transfer, energy, concentration, and… More >

Muhammad Shoaib Arif^1,2,*, Muhammad Jhangir², Yasir Nawaz², Imran Abbas², Kamaleldin Abodayeh¹, Asad Ejaz²

CMES-Computer Modeling in Engineering & Sciences, Vol.133, No.2, pp. 303-325, 2022, DOI:10.32604/cmes.2022.020979

Abstract The numerous applications of Maxwell Nanofluid Stagnation Point Flow, such as those in production industries, the processing of polymers, compression, power generation, lubrication systems, food manufacturing and air conditioning, among other applications, require further research into the effects of various parameters on flow phenomena. In this paper, a study has been carried out for the heat and mass transfer of Maxwell nanofluid flow over the heated stretching sheet. A mathematical model with constitutive expressions is constructed in partial differential equations (PDEs) through obligatory basic conservation laws. A series of transformations are then used to take the system into an ordinary… More >

Arfan Shahzad^1,2, Muhammad Imran^1,*, Muhammad Nawaz Naeem¹, Mohsan Raza¹

CMES-Computer Modeling in Engineering & Sciences, Vol.131, No.3, pp. 1669-1692, 2022, DOI:10.32604/cmes.2022.017914

Abstract In current study, the numerical computations of Reiner–Rivlin nanofluid flow through a rotational disk under the influence of thermal radiation and Arrhenius activation energy is considered. For innovative physical situations, the motile microorganisms are incorporated too. The multiple slip effects are considered in the boundary conditions. The bioconvection of motile microorganism is utilized alongside nanofluids to provide stability to enhanced thermal transportation. The Bioconvection pattern in various nanoparticles accredits novel applications of biotechnology like the synthesis of biological polymers, biosensors, fuel cells, petroleum engineering, and the natural environment. By deploying some suitable similarity transformation functions, the governing partial differential equations… More >

Liangliang Chen¹, Madeeha Tahir^2,*, Sumeira Yasmin³, Taseer Muhammad⁴, Muhammad Imran^5,*, Fenghua Liu¹

CMES-Computer Modeling in Engineering & Sciences, Vol.130, No.3, pp. 1771-1788, 2022, DOI:10.32604/cmes.2022.017539

Abstract The energy produced by the melting stretching disks surface has a wide range of commercial applications, including semi-conductor material preparation, magma solidification, permafrost melting, and frozen land refreezing, among others. In view of this, in the current communication we analyzed magnetohydrodynamic flow of Maxwell nanofluid between two parallel rotating disks. Nanofluids are important due to their astonishing properties in heat conduction flows and in the enhancement of electronic and manufacturing devices. Furthermore, the distinct tiny-sized particles and in the Maxwell water-based fluid for enhancing the heat transfer rate are analyzed. The heat equation is developed in the occurrence of thermal… 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

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. In addition, a hallmark of… More >

Iskandar Waini^1,2, Anuar Ishak^2,*, Ioan Pop³

CMC-Computers, Materials & Continua, Vol.68, No.3, pp. 3255-3269, 2021, DOI:10.32604/cmc.2021.017643

Abstract This study examines the stagnation point flow over a stretching/shrinking sheet in a hybrid nanofluid with homogeneous-heterogeneous reactions. The hybrid nanofluid consists of copper (Cu) and alumina (Al₂O₃) nanoparticles which are added into water to form Cu-Al₂O₃/water hybrid nanofluid. The similarity equations are obtained using a similarity transformation. Then, the function bvp4c in MATLAB is utilised to obtain the numerical results. The dual solutions are found for limited values of the stretching/shrinking parameter. Also, the turning point arises in the shrinking region (λ < 0). Besides, the presence of hybrid nanoparticles enhances the heat transfer rate, skin friction coefficient, and… More >

R. Kalaivanan¹, N. Vishnu Ganesh², Qasem M. Al-Mdallal^3,*

FDMP-Fluid Dynamics & Materials Processing, Vol.17, No.2, pp. 319-332, 2021, DOI:10.32604/fdmp.2021.012789

Abstract The buoyancy driven flow of a second-grade nanofluid in the presence of a binary chemical reaction is analyzed in the context of a model based on the balance equations for mass, species concentration, momentum and energy. The elastic properties of the considered fluid are taken into account. The two-dimensional slip flow of such non-Newtonian fluid over a porous flat material which is stretched vertically upwards is considered. The role played by the activation energy is accounted for through an exponent form modified Arrhenius function added to the Buongiorno model for the nanofluid concentration. The effects of thermal radiation are also… More >