Mathematical analysis of nonlinear thermal radiation and nanoparticle aggregation on unsteady MHD flow of micropolar nanofluid over shrinking sheet

Guedri, Kamel; Mahmood, Zafar; Fadhl, Bandar M.; Makhdoum, Basim M.; Eldin, Sayed M.; Khan, Umar

doi:10.1016/j.heliyon.2023.e14248

Cited by 37 publications

(8 citation statements)

References 42 publications

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“…When the fractal structure of aggregates is taken into consideration, the updated nanoparticle volume fraction a f may be defined as follows (see [15][16][17]):…”

Section: Thermophysical Propertiesmentioning

confidence: 99%

“…The Brugman model of thermal conductivity Table 2. Models of nano liquid with effective thermo-physical properties (see [15][16][17]).…”

Section: Thermophysical Propertiesmentioning

confidence: 99%

“…Each model was implemented in conjunction with the others. To get the aggregate's thermal conductivity, do the calculation using the following formula (see [15][16][17])…”

Section: Effective Property Without Aggregation With Aggregationmentioning

confidence: 99%

“…When secondary particles are included into nanofluids, the fluids' thermal radiation characteristics will be significantly impacted. The impact of nanoparticle aggregation on nanofluid heat conduction has been studied extensively [15][16][17]. In terms of the aggregation of nanoparticles, minimal investigation has been performed on the significance of nanofluid thermal radiation properties.…”

Section: Introductionmentioning

confidence: 99%

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Mathematical investigation of nanoparticle aggregation and heat transfer on mixed convective stagnation point flow of nanofluid over extendable vertical Riga plate

Mahmood¹,

Khan²

2023

Phys. Scr.

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The purpose of this study is to evaluate the effects that aggregation of nanoparticles has on mixed convective stagnation point flow and porous media across a permeable stretched vertical Riga plate in the occurrence of a heat source or sink for ethylene glycol-based nanofluids. It is possible to evaluate nanoparticle aggregation with modified versions of the Krieger-Dougherty and Maxwell-Bruggeman models. To obtain numerical solutions to the mathematical model of the present issue, the Runge–Kutta (RK-IV) with shooting technique in Mathematica was used. Figures in the proposed mixed convection and suction variables along a boundary surface in the stagnation point flow towards a permeable extending Riga plate identify and explain heat transfer processes and interrupted flow occurrences. By combining titania (TiO 2) nanoparticles with ethylene glycol as the base fluid, improved heat transmission is possible. The effects of different inputs on temperature and velocity profiles, skin friction coefficient, and local Nusselt number were graphically shown using tables and graphs. The heat transmission and skin friction rates both increased when the suction parameter was given larger values. Increases in both skin friction and the Nusselt number may be attributed to variations in the volume percentage of nanoparticles. Heat source parameter increased the temperature profile and reduced the Nusselt number. Aggregation models provide more accurate velocity and skin fraction profiles than homogeneous models, which is why they are more often used. The findings were confirmed by comparing the most up-to-date research with previously published results for the same situation. Results indicated that the two sets of data were consistent with one another.

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“…When the fractal structure of aggregates is taken into consideration, the updated nanoparticle volume fraction a f may be defined as follows (see [15][16][17]):…”

Section: Thermophysical Propertiesmentioning

confidence: 99%

“…The Brugman model of thermal conductivity Table 2. Models of nano liquid with effective thermo-physical properties (see [15][16][17]).…”

Section: Thermophysical Propertiesmentioning

confidence: 99%

“…Each model was implemented in conjunction with the others. To get the aggregate's thermal conductivity, do the calculation using the following formula (see [15][16][17])…”

Section: Effective Property Without Aggregation With Aggregationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Mathematical investigation of nanoparticle aggregation and heat transfer on mixed convective stagnation point flow of nanofluid over extendable vertical Riga plate

Mahmood¹,

Khan²

2023

Phys. Scr.

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“…The research carried out by Cai and colleagues 15 shows that fractal theory is capable of providing an accurate description of nanoparticles and their aggregation. See the work of Mackolil and Mahanthesh, and others [16][17][18][19][20] for recent publications of many different works that make an effort in this area.…”

Section: Introductionmentioning

confidence: 99%

MHD flow of nanofluid over moving slender needle with nanoparticles aggregation and viscous dissipation effects

et al. 2023

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The study of boundary layer flows over an irregularly shaped needle with small horizontal and vertical dimensions is popular among academics because it seems to have a lot of uses in fields as different as bioinformatics, medicine, engineering, and aerodynamics. With nanoparticle aggregation, magnetohydrodynamics, and viscous dissipation all playing a role in the flow and heat transmission of an axisymmetric [Formula: see text] nanofluid via a moving thin needle, this article provides guidance on how to employ a boundary layer for this purpose. In this case, we utilized the similarity transformation to change the dimensional partial differential equation into the dimensionless ordinary differential equation. We utilize MATHEMATICA to include shooting using RK-IV methods after identifying the numerical issue. Several characteristics were measured, leading to the discovery of a broad variety of values for things like skin friction coefficients, Nusselt numbers, velocity profiles, and temperature distributions. Velocity profile decreases with increasing values of [Formula: see text] and increases against [Formula: see text] Temperature profiles enhances with increasing values of [Formula: see text], and [Formula: see text] The reduction in skin friction between a needle and a fluid can be observed when the values of M and [Formula: see text] are boosted. Furthermore, it was also noticed an increase in heat transfer on needle surface dramatically when [Formula: see text], and M were raised, whereas [Formula: see text] displayed the opposite effect. The findings of the current study are compared with prior findings for a particular instance in order to confirm the findings. Excellent agreement between the two sets of results is found.

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Statistical analysis of bioconvective EMHD tangent hyperbolic nanofluid with thermal radiation and heat source/sink

Senbagaraja,

2024

Z Angew Math Mech

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This study examines the influence of thermal radiation and heat source/sink of the tangent hyperbolic fluid on EMHD boundary layer flow through stretching sheets. Motile gyrotactic microorganism is considered in the fluid flow and the flow is analyzed with the impact of thermal radiation, heat source/sink, and electromagnetohydrodynamic. By utilizing the proper similarity transformations, partial differential systems are converted to ordinary differential systems. The Runge–Kutta fifth‐order method with shooting technique is used in the converted systems to solve numerically. Velocity, temperature, concentration, and microorganism density profile are discussed and represented graphically. The numerical values of drag force rate, heat transfer rate, mass transfer rate, and density of motile microorganisms are specified, compared, and results enhancement in heat transfer rate as 64.31% by radiation parameter, mass transfer rate as 97.28% by heat source/sink parameter and microorganism density rate as 28.33% by Peclet number, respectively. The buoyancy parameter diminishes the drag force by 30.39%. The multiple and quadratic regression coefficient for adjusted , multiple , residual standard error, F‐statistic, and p‐value is estimated for skin friction, Nusselt number, Sherwood number, and density of microorganism. It has significant applications which are widely used to transport biological material in bio‐microfluidics, enhance heat dissipation in high‐performance electronics, thermal management systems on spacecraft and satellites, and solar energy systems.

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Mathematical analysis of nonlinear thermal radiation and nanoparticle aggregation on unsteady MHD flow of micropolar nanofluid over shrinking sheet

Cited by 37 publications

References 42 publications

Mathematical investigation of nanoparticle aggregation and heat transfer on mixed convective stagnation point flow of nanofluid over extendable vertical Riga plate

Mathematical investigation of nanoparticle aggregation and heat transfer on mixed convective stagnation point flow of nanofluid over extendable vertical Riga plate

MHD flow of nanofluid over moving slender needle with nanoparticles aggregation and viscous dissipation effects

Statistical analysis of bioconvective EMHD tangent hyperbolic nanofluid with thermal radiation and heat source/sink

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