Dual solutions of convective rotating flow of three-dimensional hybrid nanofluid across the linear stretching/shrinking sheet

Asghar, Adnan; Vrînceanu, Narcisa; Ying, Teh Yuan; Lund, Liaquat Ali; Shah, Zahir; Tirth, Vineet

doi:10.1016/j.aej.2023.05.089

Cited by 33 publications

(4 citation statements)

References 58 publications

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“…This solver was developed by Kierzenka and Shampine [18]. To ensure the precision of the numerical outcomes derived in this research, a comparison is made between the reduced skin friction coefficients f ′′ (0) and g ′ (0) values with those presented in references [5,7]. The comparisons, as displayed in Table 1, demonstrate remarkable concurrence, instilling us with confidence in the accuracy of the current approach.…”

Section: Resultsmentioning

confidence: 75%

“…Asghar et al [7] Present results 8 indicate the existence of dual solutions across a defined range of the stretching/shrinking parameter λ and the mass flux parameter s. By utilizing varying initial approximations for the unknown values of f ′′ (0), g ′ (0) and −θ ′ (0), two separate solutions (first and second) are attained. These solutions are visually represented using solid and dashed lines, respectively.…”

Section: Mustafa Et Al [5]mentioning

confidence: 83%

“…In additional, they also found that the presence of hybridity amplifies both the temperature distribution and the heat transfer rate at the surface. Very recently, a numerical investigation was conducted by Asghar et al [7] to analyze the dual solutions of rotating stretching/shrinking surfaces by examining how convective boundary conditions, viscous dissipation, thermal radiation, and heat sources/sinks influence the 3-D hybrid nanofluid flow. They found that both solutions are increased in velocity f ′ (η) profile and g(η) profile with the increment of positive and negative rotational parameter ω.…”

Section: Introductionmentioning

confidence: 99%

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Three-dimensional rotating viscous flow past a permeable stretching/shrinking sheet with convective boundary condition

Hafidzuddin,

Arifin,

Nazar

et al. 2023

Math. Model. Comput.

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The study of three-dimensional rotating boundary layer flow approaching a stretching or shrinking surface under convective boundary conditions is presented in this paper. This study expands the scope of previous researchers' work to encompass broader scenarios, including situations involving mass transfer (suction) on the wall, the Biot number and cases featuring a shrinking surface. It is found that the increase of suction and rotating parameters leads to a noticeable rise in both the local skin friction coefficients and the local Nusselt number, and the solutions to the governing ordinary differential equations exhibit a dual-branch nature, comprising both upper and lower branch solutions, within a specific range of the governing parameters.

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Section: Resultsmentioning

confidence: 75%

Section: Mustafa Et Al [5]mentioning

confidence: 83%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Three-dimensional rotating viscous flow past a permeable stretching/shrinking sheet with convective boundary condition

Hafidzuddin,

Arifin,

Nazar

et al. 2023

Math. Model. Comput.

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“…The study was performed using MATLAB tool using the bvp4c algorithm. During the study significant improvement in heat transfer was observed for hybrid nanofluid, compared to base fluids [22]. Moreover, the paper [23] investigated radiative 2D flow over a horizontal surface.…”

Section: Greek Symbolsmentioning

confidence: 99%

Numerical assessment of solar air heater performance having a broken arc and broken S-shaped ribs as roughness

Haldiaa,

Bishta,

Bhandarib

et al. 2024

Archives of Thermodynamics

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This research article aims to provide a detailed numerical study of the multifaceted impact of S-shaped and broken arc roughness on solar air heaters. Therefore, a strong comparison was made between the modified heaters and smooth heaters for Reynolds numbers ranging from 2 00022 000. Also, the impact of two parameters, i.e. pitch and gap was analyzed to optimize the performance of the heater. The gap varies from 0.3 mm to 0.9 mm in both types of ribs with a step size of 0.2 mm. Afterwards, the pitch distance between both types of roughness was varied from 15 mm to 25 mm in the step size of 5 mm. Notably, it has been observed that among all the considered configurations, the gap length of 0.9 mm and pitch length of 25 mm have shown significant improvements in heat transfer characteristics. The specific combination of the gap of 0.9 mm and pitch of 25 mm has demonstrated better heat transfer capabilities at the expense of an increased friction factor. Lastly, the thermal performance factor of the systems was analyzed and reported. It was reported that the pitch length of 25 mm and gap length of 0.9 mm have shown a maximum thermal performance factor value from 2.9 to 3.3, while the pitch length of 25 mm and gap length of 0.3 mm have depicted the lowest thermal performance factor value. In terms of the overall performance, i.e. the thermal performance factor, the combination with a gap of 0.9 mm and pitch of 25 mm has shown the best performance, while a gap of 0.3 mm and pitch of 25 mm has yielded the worst performance.

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Thermal transportation of radiative cathode nanotube‐based nanofluid on a stretching/shrinking wedge with varying magnetism and heat source

Pattnaik,

Usman,

Panda

et al. 2024

Z Angew Math Mech

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The complex heat transfer processes occurring in a magnetized water‐based hybrid nanofluid flowing past a stretching or shrinking wedge are investigated in this work. The research highlights the significant influence of the wedge angle on fluid flow patterns and temperature gradients, emphasizing how larger angles cause changes in pressure, flow separation, and temperature profiles. Additionally, the study emphasizes the importance of radiation effects near surfaces, where increased radiation often leads to cooling due to thermal energy emission. The findings have implications in industries such as aerospace, electronics, thermal management, and groundwater resources management where precise temperature control is critical for safe and efficient operations. The numerical method applied to solve the governing equations in the study is the fourth‐order Runge–Kutta technique with shooting technique. This method efficiently solves the boundary value problem by converting it into a system of first‐order initial value problems. Then shooting technique is used to solve the system, starting with an adequate initial guess. The study's results are presented in tabular and graphical forms, providing valuable insights into the complex fluid dynamics and thermal behavior in the given setting, enabling more informed decision‐making and optimization in relevant engineering applications. Increased radiation frequently results in a cooling effect owing to thermal energy output. Heat sinks/heat sources are crucial in temperature regulation and are effective in lowering temperatures via processes. We also emphasize the importance of radiation impacts near surfaces, where increased radiation frequently leads to cooling owing to thermal energy emission. The numerical values of skin friction and Nusselt number for various parameters in the cases of shrinking and stretching provide crucial insights into the heat transmission and frictional properties of the system under examination. These quantitative results contribute to a better understanding of the complex fluid dynamics and thermal behavior in the given setting, emphasizing the significance of the research findings.

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Dual solutions of convective rotating flow of three-dimensional hybrid nanofluid across the linear stretching/shrinking sheet

Cited by 33 publications

References 58 publications

Three-dimensional rotating viscous flow past a permeable stretching/shrinking sheet with convective boundary condition

Three-dimensional rotating viscous flow past a permeable stretching/shrinking sheet with convective boundary condition

Numerical assessment of solar air heater performance having a broken arc and broken S-shaped ribs as roughness

Thermal transportation of radiative cathode nanotube‐based nanofluid on a stretching/shrinking wedge with varying magnetism and heat source

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