A chemical engineering application on hyperbolic tangent flow examination about sphere with Brownian motion and thermo phoresis effects using BVP5C

Vedavathi, N.; Dharmaiah, G.; Noeiaghdam, Samad; Fernández-Gámiz, Unai

doi:10.1016/j.csite.2022.102491

Cited by 20 publications

(5 citation statements)

References 34 publications

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“…The problem represented by Eqs. ( 18 ) and ( 19 ) was numerically solved using the bvp5c function in MATLAB, as detailed in references 55 . The analysis revealed that the computed maximum error was approximately .…”

Section: Implementation Of Lshpmmentioning

confidence: 99%

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Critical analysis for nonlinear oscillations by least square HPM

Rafiq,

Kamran,

Ahmad

et al. 2024

Sci Rep

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In this study, a novel adapted homotopy perturbation method (HPM) is used to treat the nonlinear phenomena of free vibration in a system with one degree of freedom. This adaptation involves the integration of HPM with a least-squares optimizer, resulting in a hybrid method called the least square homotopy perturbation method (LSHPM). The LSHPM is tested on various nonlinear problems documented in the existing literature. To evaluate the effectiveness of the proposed approach, the identified problems are also tackled using HPM and the MATLAB built-in function bvp5c, and then the results are compared with those obtained using LSHPM. In addition, a comparative analysis is carried out with the results of the AG method as found in the literature. The results show that LSHPM is a reliable and efficient method suitable for solving more complicated initial value problems in the fields of science and engineering.

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Section: Implementation Of Lshpmmentioning

confidence: 99%

“…The numerical solution of the problem represented by Eqs. ( 18 ) and ( 19 ) was carried out using MATLAB’s bvp5c function, as detailed in references 55 . The computed maximum error was found to be on the order of .…”

Section: Implementation Of Lshpmmentioning

confidence: 99%

Critical analysis for nonlinear oscillations by least square HPM

Rafiq,

Kamran,

Ahmad

et al. 2024

Sci Rep

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“…From a theoretical point of view, the physical connection between the heat and mass transport equations with the momentum equation leads always to a gigantic differential formulation of higher nonlinearity degree during the boundary layer nanofluid/fluid flows near the surface of a solid body [25][26][27][28][29][30][31][32][33][34], like wedges [35][36][37][38], spheres [39][40][41][42], cones [43][44][45][46], and cylinders [47][48][49][50]. Generally, the solutions of the resulting differential equations require high technical skills and sufficient expertise in numerical/semianalytical techniques due to the existence of a mathematical difficulty in deriving closed-form solutions in most cases.…”

Section: Introductionmentioning

confidence: 99%

Influences of blowing and internal heating processes on steady MHD mixed convective boundary layer flows of radiating titanium dioxide‐ethylene glycol nanofluids

Wakif,

Alshehri,

Muhammad

2024

Z Angew Math Mech

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The present analysis intends predominantly to explore the multiple behaviors of radiating ethylene glycol‐based titanium dioxide nanofluids during their steady boundary layer flows near a vertical permeable surface under the prominent impacts of uniform blowing and nonuniform internal heating processes. By incorporating the dynamical contribution of Lorentz and buoyancy forces in the momentum equation and adopting the single‐phase nanofluid approach along with the constitutive equations of the second‐grade rheological model and Corcione's correlations, the governing partial differential equations and their appropriate boundary conditions are derived mathematically based on the boundary layer theory and other admissible physical approximations. After several simplifications, the aforesaid differential formulation is converted into a set of ordinary differential equations and realistic boundary conditions, which are solved thereafter numerically using GDQ's‐NT method. Moreover, it is demonstrated that the strengthening in the blowing and internal heating processes has a boosting effect on the velocity and temperature profiles. However, the other influencing parameters show dissimilar dynamical and thermal trends. Furthermore, it is witnessed that the mixed convective heat transfer, the viscoelasticity trend of the nanofluidic medium, and the nanoparticles’ loading exhibit an enhancing impression on the surface heat transfer rate.

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“…Many researchers studied on tangent hyperbolic nanofluid flow, 25 3D of Powell-Eyring nanofluid 26 and a hydrodynamic flow of Jeffrey nanofluid 27 with PCF and PHF conditions. Dharmaiah et al [28][29][30][31][32][33][34][35][36][37][38][39] discussed on fluid flow in various physical configurations.…”

Section: Introductionmentioning

confidence: 99%

Dynamics of Brownian motion and flux conditions on naturally unsteady thermophoretic flow with variable fluid properties

Kumar

Sivakumar²,

Shukla

et al. 2023

Heat Trans

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This work examines the boundary flow difficulties of the past and the heat transfer properties of Blasius and Sakiadis flows under prescribed concentration flux and prescribed heat flux. The nanofluid is also taken into account in this model, along with impacts from Brownian motion and thermophoresis. The modified system governing partial differential equations is numerically solved by using the R-K method along with the shooting technique. Various values of physical quantities like thermophoresis parameter, Brownian motion parameter, Eckert number, thermal radiation parameter, heat source parameter, and magnetic field parameter along with the C Nu Sh , , andx were calculated using the temperature, concentration, and velocity profiles. Finally, we demonstrated how the Brownian motion, radiation, and thermophoresis parameters can significantly increase the temperature distributions. The concentration distributions were decelerated with an increase in Brownian motion parameters for both Blasius and Sakiadis cases.

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A chemical engineering application on hyperbolic tangent flow examination about sphere with Brownian motion and thermo phoresis effects using BVP5C

Cited by 20 publications

References 34 publications

Critical analysis for nonlinear oscillations by least square HPM

Critical analysis for nonlinear oscillations by least square HPM

Influences of blowing and internal heating processes on steady MHD mixed convective boundary layer flows of radiating titanium dioxide‐ethylene glycol nanofluids

Dynamics of Brownian motion and flux conditions on naturally unsteady thermophoretic flow with variable fluid properties

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