Scientific investigation of a fractional model based on hybrid nanofluids with heat generation and porous medium: applications in the drilling process

Khan, Dolat; Khan, İlyas; Khan, Arshad; Watthayu, Wiboonsak; Arif, Muhammad

doi:10.1038/s41598-022-10398-3

Cited by 13 publications

(8 citation statements)

References 39 publications

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“…Algehyne et al [12] have presented the BVP of Maxwell hybrid nanofluid and its thermophysical performances. Khan et al [13] have investigated a fractional model on hybrid nanofluids with porous medium. The use of nanoparticles for imaging and sensing purposes in bio-medical field has become very important for advance applications [12].…”

Section: Introductionmentioning

confidence: 99%

Transportation of Hybrid $${\textbf {MoS}}_2$$–$${\textbf {SiO}}_2$$/EG Nanofluidic System Toward Radially Stretched Surface

et al. 2022

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A stochastic computing approach is implemented in the present work to solve the nonlinear nanofluidics system that occurs in the model of atomic physics. The process converts the partial differential nanofluidics system with suitable level of similarities transformation into nonlinear systems of differential equations. For the construction of datasets, finite difference scheme (Lobatto IIIA) is applied through different selection of collocation points for nonlinear nanofluidics system having accuracy of order four. Lobatto IIIA has a strong point to tackle extremely nonlinear systems of ordinary differential equations in smooth way. For different scenarios, datasets are well trained through computing scheme to investigate the heat transfer and thermal performance of nanofluidic transportation system of nanofluids and hybrid nanofluids toward stretching surfaces with variation of Biot number, Nusselt number and skin fraction. Furthermore, the reliability, accuracy and efficiency are endorsed through various statistical analysis and graphical illustrations of proposed computing scheme.

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Section: Introductionmentioning

confidence: 99%

Transportation of Hybrid $${\textbf {MoS}}_2$$–$${\textbf {SiO}}_2$$/EG Nanofluidic System Toward Radially Stretched Surface

et al. 2022

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“…In their works, Rehman et al 4 and Ali et al 5 noted that conformable derivatives are used to approach the fractional differential equation. In light of a fractional-based model, Khan et al 6 came to the conclusion that the inclusion of hybrid nanoparticles rather than mono nanofluids controls the drilling fluid velocity. Moreover, the incorporation of different nanoparticle shapes into water increased the percentage of heat transfer by up to 11.149 percent.…”

Section: Introductionmentioning

confidence: 99%

“…Using the preceding assumptions, the mathematical form of the velocity, temperature, and concentration are given by 39 , 40 …”

Section: Introductionmentioning

confidence: 99%

Development of generalized Fourier and Fick’s law of electro-osmotic MHD flow of sodium alginate based Casson nanofluid through inclined microchannel: exact solution and entropy generation

Khan

Asogwa²,

Akkurt

et al. 2022

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Electro-osmotic flow via a microchannel has numerous uses in the contemporary world, including in the biochemical and pharmaceutical industries. This research explores the electroosmotic flow of Casson-type nanofluid with Sodium Alginate nanoparticles through a vertically tilted microchannel. In addition, the transverse magnetic field is also considered. In this flowing fluid, the influence of heat and mass transmission is also explored. The aforementioned physical process is represented by partial differential equations. Utilizing suitable dimensionless variables for nondimensionalized. Furthermore, the non—dimensional classical system is fractionalized with the use of generalized Fourier and Fick's law. Generalizations are made using the Caputo derivative's description. The analytical solution of the velocity, temperature, and concentration profiles is obtained by combining the methods of Laplace and Fourier. Interestingly, the influence of several physical characteristics such as the fractional parameter, Casson fluid parameter, the thermal and mass Grashof numbers, and the zeta potential parameter is displayed. Moreover, the results show that the volume fractional of nanoparticles enhances the rate of heat transfer up to 39.90%, Skin friction up to 38.05%, and Sherwood number up to 11.11%. Also, the angle of inclination enhances the fluid velocity.

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Section: Introductionmentioning

confidence: 99%

“…Alhowaity et al 9 incorporated the power law nanofluid model to examine the thermal features of hybrid nanofluid flow in over a heated surface. Khan et al 10 studied the application of hybrid nanofluid in the drilling process where the heat is continuously dissipated. The heat emission in processes of engineering where a large temperature is desired through the radiation influence is a critical phenomenon in the transportation of heat.…”

mentioning

confidence: 99%

Transport properties of two-dimensional dissipative flow of hybrid nanofluid with Joule heating and thermal radiation

Alqahtani

Sidi

Khan

et al. 2022

Sci Rep

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The important feature of the current work is to consider the pressure variation, heat transport, and friction drag in the hydromagnetic radiative two-dimensional flow of a hybrid nanofluid depending on the viscous dissipation and Joule heating across a curved surface. The curved surface has been considered with the binary heating process called as prescribed heat flux and surface temperature. The basic partial differential equation (PDEs) has been converted into the non-dimensional ordinary differential equations (ODEs) by applying some specified dimensionless transformations. The bvp4c built-in package in MATLAB has been considered to find the numerical solution of the consequential equations. The graphical results have been plotted in terms of pressure, friction drag, velocity, temperature, and heat transport. Several important results have also been plotted for the plan level surface $$($$ ( The condition of $$K\to \infty )$$ K → ∞ ) . It is found that the heat transport rate respectively reduces and enhances with the enhancement of radiation parameter and Hartmann number as well as the friction drag is enhancing with the high-volume fraction of nanoparticles and Hartmann number. Moreover, enhancing curvature parameter, enhances the friction drag and declines the heat transport rate. The current work renders uncountable applications in several engineering and industrial systems like electronic bulbs, electric ovens, geysers, soil pollution, electric kettle, fibrous insulation, etc. Moreover, the heating as well as the cooling systems of electrical, digital, and industrial instruments, are controlled by the heat transport in fluids. Thus, it is important to use such flows in these types of instruments.

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Scientific investigation of a fractional model based on hybrid nanofluids with heat generation and porous medium: applications in the drilling process

Cited by 13 publications

References 39 publications

Transportation of Hybrid $${\textbf {MoS}}_2$$–$${\textbf {SiO}}_2$$/EG Nanofluidic System Toward Radially Stretched Surface

Transportation of Hybrid $${\textbf {MoS}}_2$$–$${\textbf {SiO}}_2$$/EG Nanofluidic System Toward Radially Stretched Surface

Development of generalized Fourier and Fick’s law of electro-osmotic MHD flow of sodium alginate based Casson nanofluid through inclined microchannel: exact solution and entropy generation

Transport properties of two-dimensional dissipative flow of hybrid nanofluid with Joule heating and thermal radiation

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