A fractional model of Casson fluid with ramped wall temperature: Engineering applications of engine oil

Arif, Muhammad; Kumam, Wiyada; Khan, İlyas; Ramzan, Muhammad

doi:10.1002/cmm4.1162

Cited by 27 publications

(12 citation statements)

References 45 publications

(46 reference statements)

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“…From this research, it is perceived that the nanofluid temperature declines with the enhancement of the Eckert and radiation parameters. Arif et al [30] enlightened the applications of the non-Newtonian fractional problem of Casson fluid with the occurrence of ramped wall temperature and heat transport phenomena. They employed the Laplace transformations in their modeling for the exact solution.…”

Section: Introductionmentioning

confidence: 99%

Applications of solar radiation toward the slip flow of a non‐Newtonian viscoelastic hybrid nanofluid over a rotating disk

et al. 2022

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This work explores a semi‐analytical solution of the Magnetohydrodynamics (MHD) viscoelastic water‐based hybrid nanoliquid flow containing TiO2 and CoFe2O4 nanoparticles past a rotating disk along with velocity slip condition. The impact of solar radiation is incorporated in the temperature equation. The current study consists of non‐Newtonian viscoelastic hybrid nanofluid flow problem which is comprised of momentum and temperature equations. By using suitable similarity transformations, the higher‐order nonlinear ordinary differential equations are transformed into the nonlinear ordinary differential equations and then resolved with the execution of the homotopy analysis scheme in MATHEMATICA 10.0. The behavior of the involved physical parameters on the hybrid nanoliquid radial and tangential velocities and temperature profiles are calculated in a graphical form. Also, the skin friction and Nusselt number for TiO2−CoFe2O4/${\rm{Ti}}{{\rm{O}}_2}-{\rm{CoF}}{{\rm{e}}_2}{{\rm{O}}_4}/$/water nanoliquid are described in tabular form. Some major results related to the current work are that by rising the values of the viscoelastic parameter, nanoparticle volume fraction of the titanium dioxide and cobalt oxide increases the skin friction coefficient Cgr${C_{gr}}$. The viscoelastic parameter, nanoparticles volume fraction of the cobalt oxide and magnetic parameter reduced the skin friction coefficient Cfr${C_{fr}}$ of the hybrid nanofluid. It is noted that Nusselt number is lower for both QSR=0${Q_{SR}} = 0$ and QSR>0${Q_{SR}} > 0$ cases against the absorption factor. The expansion in hybrid nanofluid temperature is examined for both QSR=0${Q_{SR}} = 0$ and QSR>0${Q_{SR}} > 0$ cases. It is obtained that the temperature and heat rate transfer of the hybrid nanofluid are dominant in the presence of solar radiation.

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Section: Introductionmentioning

confidence: 99%

Applications of solar radiation toward the slip flow of a non‐Newtonian viscoelastic hybrid nanofluid over a rotating disk

et al. 2022

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“…In the last few decades, fractional calculus has outperformed ordinary calculus because basic calculus has reached to its peak. Engineers and scientists are focusing on the fractional models and their solutions due to their ability to provide more meaningful insight of physical phenomena with memory effects such as fractional Casson fluid with ramped wall temperature [1], fractional SEIR model of Covid 19 [2], fractional dual-phase-lag thermoelastic model [3], novel fractional time-delayed grey Bernoulli forecasting model [4], fractal fractional model of drilling nono-liquids [5] and stability of fractional quasi-linear impulsive integro-differential systems [6]. is permits a more accurate description of real-world situations than the basic integral order.…”

Section: Introductionmentioning

confidence: 99%

Soliton Solutions of Generalized Third Order Time‐Fractional KdV Models Using Extended He‐Laplace Algorithm

et al. 2022

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In this research, the He-Laplace algorithm is extended to generalized third order, time-fractional, Korteweg-de Vries (KdV) models. In this algorithm, the Laplace transform is hybrid with homotopy perturbation and extended to highly nonlinear fractional KdVs, including potential and Burgers KdV models. Time-fractional derivatives are taken in Caputo sense throughout the manuscript. Convergence and error estimation are confirmed theoretically as well as numerically for the current model. Numerical convergence and error analysis is also performed by computing residual errors in the entire fractional domain. Graphical illustrations show the effect of fractional parameter on the solution as 2D and 3D plots. Analysis reveals that the He-Laplace algorithm is an efficient approach for time-fractional models and can be used for other families of equations.

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“…With the use of this model, he showed good thermal performance for a Newtonian fluid as compared to a Maxwell liquid when he increased the ferromagnetic interaction and volume fraction parameters. Further, the flow problems related to the non-Newtonian fluids are studied and discussed in refs − .…”

Section: Introductionmentioning

confidence: 99%

Computational Assessment of Microrotation and Buoyancy Effects on the Stagnation Point Flow of Carreau–Yasuda Hybrid Nanofluid with Chemical Reaction Past a Convectively Heated Riga Plate

et al. 2022

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The present framework deliberated the mixed convection stagnation point flow of a micropolar Carreau–Yasuda hybrid nanoliquid through the influence of the Darcy-Forchheimer parameter in porous media toward a convectively heated Riga plate. In this investigation, blood is used as a base liquid and gold (Au) and copper (Cu) are the nanoparticles. The main novelty of the present investigation is to discuss the transmission of heat through the application of thermal radiation, viscous dissipation, and the heat source/sink on the flow of a micropolar Carreau–Yasuda hybrid nanoliquid. Further, the results of the chemical reaction are utilized for the computation of mass transport. Brownian motion and thermophoretic phenomena are discussed in the current investigation. The current problem is evaluated by using the connective and partial slip conditions and is formulated on the basis of the higher-order nonlinear PDEs which are converted into highly nonlinear ODEs by exploiting the similarity replacement. In the methodology section, the homotopic analysis scheme is employed on these resulting ODEs for the analytical solution. In the discussion section, the results of the different flow parameters on the velocity, microrotation, energy, and mass of the hybrid nanofluid are computed against various flow parameters in a graphical form. Some of the main conclusions related to the present investigation are that the velocity profile is lowered but the temperature is augmented for both nanoparticles volume fractions. It is notable that the skin friction coefficient is reduced due to the higher values of the Darcy-Forchheimer parameter. Further, the rising performance of the hybrid nanofluid Nusselt number is determined by the radiation parameter.

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A fractional model of Casson fluid with ramped wall temperature: Engineering applications of engine oil

Cited by 27 publications

References 45 publications

Applications of solar radiation toward the slip flow of a non‐Newtonian viscoelastic hybrid nanofluid over a rotating disk

Applications of solar radiation toward the slip flow of a non‐Newtonian viscoelastic hybrid nanofluid over a rotating disk

Soliton Solutions of Generalized Third Order Time‐Fractional KdV Models Using Extended He‐Laplace Algorithm

Computational Assessment of Microrotation and Buoyancy Effects on the Stagnation Point Flow of Carreau–Yasuda Hybrid Nanofluid with Chemical Reaction Past a Convectively Heated Riga Plate

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