The Effect of Wall Shear Stress on Two Phase Fluctuating Flow of Dusty Fluids by Using Light Hill Technique

Khan, Dolat; Rahman, Abdur; Ali, Gulzar; Kaewkhao, Attapol; Khan, İlyas

doi:10.3390/w13111587

Cited by 20 publications

(8 citation statements)

References 30 publications

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“…The exact solutions are obtained by using LT and FSFTs. The figures (2)(3)(4)(5)(6)(7)(8)(9)(10)(11)(12)(13)(14)(15)(16)(17)(18)(19)(20) illustrate the influence of different physical parameters on the CSF velocity distribution, the dust particle velocity distribution, and the temperature profile. The examination of several parameters for the base fluid containing dust particles is performed using the Mathcad-15 software.…”

Section: Resultsmentioning

confidence: 99%

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Time fractional model of free convection flow and dusty two‐phase couple stress fluid along vertical plates

et al. 2022

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The middle name of author "Musawa Yahya Almusawa" was incorrect and has been corrected.]Couple Stress Fluid (CSF) incorporates a new material constant whose, in contrast to a Newtonian fluid, regulates both couple stress and lubricant viscosity.Due to the fourth-order spatial derivative term that this material constant introduces into the momentum equation, this fluid (CSF), even for classical fluid problems, has received limited research. The aim of this article is to examine the joint impact of heat transmission and magnetic field on a time-fractional model of two-phase free convection flow of dusty fluid that is electrically conducting. Among parallel plates, one of which is stationary and the other of which is oscillating with constant velocity, the CSF is supposed to flow. Heat is transferred by free convection and buoyant force, which generates the flow. Furthermore, all spherical dust particles are uniformly dispersed through the fluid. The flow is modeled mathematically in terms of PDEs. The provided derived system of PDEs is generalized by applying a recently invented fractional derivative, the Caputo-Fabrizio fractional derivative. Finite sine Fourier and Laplace transformations are jointly applied to handle the problem. The velocity and temperature profiles have closed form solutions. The CSF outcomes for stimulating fluid parameters are shown in numerous graphs for CF time fractional derivatives. Additionally, the influence of various parameters has been discussed. Mathcad-15 is used to plot the graphical outcomes for the CSF, dust particle, and temperature profiles. Furthermore, the skin friction and Nusselt number are calculated. Table 1 demonstrates how the rate of heat transmission reduces as the Peclet number's value rises. Similarly, Table 2 demonstrates that the skin friction increases as the magnetic parameter and couple stress parameter are raised. Table 3 and 4, shows the Regression analysis that the variation in the velocity for Couple stress and dusty fluid parameter are statistically significant. By increasing the couple stress parameter 𝜆, retarde the both velocities profile.

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Section: Resultsmentioning

confidence: 99%

“…Ali et al [10] scrutinized the influence of transfer of heat on two-phase viscoelastic dusty fluid flow using non-conducting parallel plates. The following articles are recommended for a more in-depth look [11][12][13][14].…”

Section: Introductionmentioning

confidence: 99%

Time fractional model of free convection flow and dusty two‐phase couple stress fluid along vertical plates

et al. 2022

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“…Ali et al [23] ascertained the influence of inclined MHD and activation energy on Cross fluid confined by a horizontal stretched plate/cylinder. Following that, several scientists and researchers looked into the features of MHD fluid from various perspectives [24][25][26][27][28][29][30][31][32][33].…”

Section: Introductionmentioning

confidence: 99%

Bioconvection flow of Prandtl–Eyring nanofluid in the presence of gyrotactic microorganisms

Ullah,

Zaman,

Ullah

et al. 2023

Z Angew Math Mech

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This work presents a theoretical numerical study of the bioconvection flow of Prandtl–Eyring nanofluid through a stretching cylinder with gyrotactic microorganisms. The mathematical model developed also incorporated the inclined magnetic field and heat generation effects. Further, stratification conditions are considered at the boundary of the stretched cylinder. The described flow problem conducting coupled high‐order partial differential equations (PDEs) is first reduced to the nonlinear system of ordinary differential equations (ODEs) by introducing suitable mathematical transformations. The resulting highly nonlinear flow equations are treated numerically by applying the shooting method. A comparison of the adapted method with previously reported data is also made to validate the presented results. The comparisons are in excellent agreement. The individual effect of controlling flow parameters/numbers on the flow profiles and physical quantities of engineering interest are represented graphically with physical descriptions. The significant results of the present analysis revealed that a rise in bioconvection Rayleigh number, thermal Grashof number, and angle of inclination boosts the velocity profile. The study shows that thermal stratification, mass stratification, and motile density stratification parameters diminish the temperature, concentration, and microorganism profiles, respectively. The nondimensional Sherwood number is decelerated significantly by thermophoresis and mass stratification parameters.

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“…EMHD zone access to various applications in several sectors has been observed, including biomedicine, engineering, research, and industry. Numerous previous studies have investigated the effect of implementing magnetic and electric fields in multiple disciplines [17][18][19][20][21][22][23][24][25]. Many recent research studies have emphasized the applications of MHD for ternary nanoparticle flow in peristaltic channels.…”

Section: Introductionmentioning

confidence: 99%

Entropy study of electromagnetohydrodynamic trihybrid nanofluid flow within non‐uniform peristaltic across microchannel

Elsaid,

Sayed,

Abdel‐wahed

2023

Z Angew Math Mech

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In this work, an inspection of the entropy generation of ternary nanofluids inside an irregular peristaltic channel resulting from heat transfer and fluid viscosity in addition to the combined effects of electric and magnetic fields is conducted. The flow is supposed to be subject to a combination of external forces such as an electric field, a magnetic field, thermal radiation, and Joule heating due to the Lorentz force. This model is a representation of the heat transfer processes of heat exchangers and some types of solar cells. Variation in channel width is an effective factor that has not been addressed by many researchers before, these assumptions are simulated by a set of nonlinear partial differential equations due to the dual effect of electric and magnetic forces and under the influence of special boundary conditions. This set of equations has been converted to non‐dimensional equations and then solved analytically to study the behavior of velocities, heat transfer, and the rate of entropy generation inside the channel under the influence of important embedded parameters. Some notable results have been reached, such as a clear growth of the entropy generation system by using more than one type of nanoparticle as a result of the improvement that occurs in the thermal and magnetic conductivity of the fluid, in addition to the increase in viscosity. The irreversibility resulting from friction and the electric and magnetic fields clearly rises in the middle and diminishes at the walls compared to the irreversibility resulting from thermal transfer.

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The Effect of Wall Shear Stress on Two Phase Fluctuating Flow of Dusty Fluids by Using Light Hill Technique

Cited by 20 publications

References 30 publications

Time fractional model of free convection flow and dusty two‐phase couple stress fluid along vertical plates

Time fractional model of free convection flow and dusty two‐phase couple stress fluid along vertical plates

Bioconvection flow of Prandtl–Eyring nanofluid in the presence of gyrotactic microorganisms

Entropy study of electromagnetohydrodynamic trihybrid nanofluid flow within non‐uniform peristaltic across microchannel

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