Boundary layers due to shear flow over a still fluid: A direct integration approach

Andersson, Helge I.; Mukhopadhyay, Swati

doi:10.1016/j.amc.2014.06.053

Cited by 11 publications

(3 citation statements)

References 6 publications

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“…the rate of heat transfer. We have designated the parameter values according to the previous literature [1][2][3][4][5] and these are beneficial for experimental purposes.…”

Section: Resultsmentioning

confidence: 99%

“…Additionally, the study investigates how essential parameters influence shear stress and the rate of heat transfer. We have designated the parameter values according to the previous literature 1–5 and these are beneficial for experimental purposes.…”

Section: Resultsmentioning

confidence: 99%

“…Wang 2 also explored a two‐layer fluid model, but with a heavier liquid beneath a lighter one, and focused on the behavior of viscous liquids. Andersson and Mukhopadhyay 3 employed a direct integration approach to solve Wang's fluid model and subsequently expanded the scope by incorporating the lower layer as a non‐Newtonian fluid. Weidman and Wang 4 provided the outcomes for the boundary layer between two uniform shear flows moving coherently, which are relevant for studying the flow over the trailing edge of a slender airfoil with curvature.…”

Section: Introductionmentioning

confidence: 99%

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Nonisothermal analysis of two uniform boundary layer shear flows

Goher,

Abbas,

Rafiq

et al. 2024

Heat Trans

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The heat transfer phenomenon on the multiphase flows plays an imperative role in several biological and industrial processes, like the oil production industries, catalytic reactors, energy losses in several thermal systems, energy storage, paper manufacture, and heat exchanger systems. Therefore, this study scrutinized the heat transfer characteristic between two uniform boundary layer shear flows with different strengths flowing in the same direction. This problem involves the simulation of the convergence of boundary layers with varying shear strengths. The nonlinear differential system is scrutinized and converted into dimensionless ordinary differential equations by employing appropriate dimensionless variables. The resulting set of highly nonlinear ordinary differential equations is resolved numerically utilizing the Matlab solver “bvp4c.” The resulting numerical solutions are used to construct graphs that illustrate and elucidate the impact of numerous physical parameters on flow patterns. For both fluids, results for the Nusselt number and shear stress are also presented graphically for various parameters. The acquired results demonstrate that the velocity profile upsurges for both upper and lower fluids by enhancing the shear parameter. Furthermore, the number of streamlines is enhanced by augmenting the values of the viscosities ratio parameter. The present problem applies to the trailing edge flow over a thin airfoil with camber.

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“…the rate of heat transfer. We have designated the parameter values according to the previous literature [1][2][3][4][5] and these are beneficial for experimental purposes.…”

Section: Resultsmentioning

confidence: 99%

Section: Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Nonisothermal analysis of two uniform boundary layer shear flows

Goher,

Abbas,

Rafiq

et al. 2024

Heat Trans

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Shear flow of nanofluid past a vertical plate in presence of Thompson–Troian slip and Stefan blowing

Dey,

Mukhopadhyay

2024

Z Angew Math Mech

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The combined impacts of Thompson‐Troian slip and Stefan blowing on flow of nanoliquid over a vertical plate in attendance of shear flow have been studied. Nanofluid is generally used to enhance the thermal properties as well as heat transport of liquid. Moreover, Stefan blowing can enhance the heat transfer coefficient by lessening the thermal resistance which is widely used in different types of cooling system. For this, such type of problem has its significant importance in various technological sectors and it attracts the attention of the researchers. The forced convection flow was considered by the authors whereas the mixed convection flow in this aspect is new and fills the gap in the literature as we have addressed this issue in this article. Here lies the novelty of our work. Using proper “similarity transformations”, the principal (partial differential equations) PDEs are altered to (ordinary differential equations) ODEs, and abridged ODEs are numerically solved with the support of Runge‐Kutta method and shooting technique. The outcomes of this investigation have significant impression on the physical appearance for flow, heat and mass transports. Fluid velocity reduces due to rise of Stefan blowing parameter but temperature is experienced to diminish. For growing slip speed and the critical shear speed, the liquid speed augments, while the hotness reduces for growing velocity slip. Compared to no‐slip case, rate of heat transfer increases 73.73% and 17.95% rise in concentration gradient at the wall is noted whereas 5.35% reduction in wall shear stress is observed for . The outcomes of this learning will be of immense help to the engineers and scientists to acquire superior flow and warmth convey features.

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Shear flow of mixed convection nanofluid past a plate in the company of prescribed surface heat flux and mass flux at the boundary

Dey,

Mukhopadhyay

2024

Z Angew Math Mech

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Combined impacts of prescribed surface heat and mass fluxes on nanoliquid flow over a vertical plate with shear flow have been inspected. A two‐phase model for nanofluid has been considered. By means of similarity alterations, partial differential equations which govern the problem under consideration are changed to ordinary ones and nonlinear equations are solved numerically by shooting technique and Runge–Kutta method. The related effects of appropriate parameters on streamwise velocity, velocity, velocity gradient, temperature, and concentrations are analyzed elaborately. The importance of unlike factors on heat and mass transport as well as fluid flow phenomena are detected and analyzed physically as far as practicable. Fluid velocity rises but temperature and concentration are noted to diminish due to mixed convection. Velocity gradient at the wall rises with the rise in mixed convection parameter but wall temperature and wall concentration are found to diminish with the growing values of mixed convection parameter. As Brownian motion parameter and thermophoresis parameter increase, the wall velocity gradient declines until a certain point and from that point it starts to behave in the opposite way. Additionally, the temperature at the wall increases as these parameters grow, but temperature at the wall decreases with the rising values of the mixed convection parameter. On the other hand, the wall concentration increases with the increasing values of the thermophoresis parameter, but wall concentration decreases with the swelling values of the Brownian motion parameter and mixed convection parameter. The results of this study will be of immense help to the engineers and scientists to obtain superior flow phenomenon and heat, mass transport features.

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Boundary layers due to shear flow over a still fluid: A direct integration approach

Cited by 11 publications

References 6 publications

Nonisothermal analysis of two uniform boundary layer shear flows

Nonisothermal analysis of two uniform boundary layer shear flows

Shear flow of nanofluid past a vertical plate in presence of Thompson–Troian slip and Stefan blowing

Shear flow of mixed convection nanofluid past a plate in the company of prescribed surface heat flux and mass flux at the boundary

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