Boundary-layer flow of the power-law fluid over a moving wedge: a linear stability analysis

Kudenatti, Ramesh B.; Noor-E-Misbah, None; Bharathi, M. C.

doi:10.1007/s00366-019-00914-x

Cited by 20 publications

(7 citation statements)

References 20 publications

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“…In defining stability of the two solutions, the γ value is important. Numerical values obtained are written in Tables 4 5. Clearly, we can see that the first solution yielded a positive value of γ which is similar with the aforesaid [61][62][63]. However, an intriguing pattern was noticed at the second solution, where we also obtained positive values of γ for several λ → λ c .…”

Section: Analysis Of Resultssupporting

confidence: 78%

Duality Solutions in Hydromagnetic Flow of SWCNT-MWCNT/Water Hybrid Nanofluid over Vertical Moving Slender Needle

Aladdin

Bachok

2021

Mathematics

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Recently, the topic of convection of heat transfer has created an interest among researchers because of its numerous applications in the daily life. The objective of this paper was to study theoretically the problem of mixed convection boundary layer flow and heat transfer of single-wall carbon nanotube (SWCNT) and multi-wall carbon nanotube (MWCNT) in presence of hydromagnetic effects. The problem was initiated by formulating a mathematical model in partial differential equation (PDE) for the hybrid nanofluid flow with appropriate boundary conditions. The similarity equation was used to transform the PDE into an ordinary differential equation (ODE) and solved using bvp4c in MATLAB. The graphical results on variation of skin friction coefficient, Cf, local Nusselt number, Nux, shear stress, f″c and local heat flux, −θ′c with the effects of magnetic, M, size of needle, c, mixed convection parameter, λ and volume fraction of nanoparticles, φ were presented and discussed in detail. The study revealed that duality of solutions appears when the buoyance force is in opposing flow of the fluid motion, λ<0. The presence of M in hybrid nanofluid reduced the skin friction coefficient and heat transfer. On the other hand, the Cf and Nux increased as different concentrations of φ1 and c were added. It gives an insight into the medical field, especially in treating cancer cells. By means, it reveals that CNTs hybrid nanofluid shows high potential in reaching the site of tumors faster compared with nanofluid. A stability analysis has to be carried out. It is noticed that the first solution was stable and physically realizable.

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Section: Analysis Of Resultssupporting

confidence: 78%

Duality Solutions in Hydromagnetic Flow of SWCNT-MWCNT/Water Hybrid Nanofluid over Vertical Moving Slender Needle

Aladdin

Bachok

2021

Mathematics

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“…We now consider a nature of the steady solutions obtained for various physical parameters when the large time behaviour is considered. We adopt the analysis of [26,27] who accomplished the stability of dual solutions for various physical parameters. We determine the stability of a steady solution by considering the unsteady form of boundary layer equations (which were dropped from (4-8))…”

Section: Linear Stabilitymentioning

confidence: 99%

“…However, if eigenvalues have a positive sign, all the solutions obtained numerically are stable and hence can be observed experimentally ( [59]). Now plugging equation ( 45) in (44a)-(44d), we get Following Weidman et al [59], Kudenatti et al [26], we set = 0 in (46a)-(46d) that leads to (F, G, S, P)( , ) = (F, G, S, P)( ) and collecting O(e − ) terms gives (44d)…”

mentioning

confidence: 99%

Local thermal non-equilibrium effects in forced convection stagnation boundary layer flows in a porous medium: the Chebyshev collocation method for coupled system

Noor-E-Misbah

Bharathi

et al. 2021

Engineering with Computers

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We study a forced convective three-dimensional flow and heat transfer in the porous medium. Temperatures of the fluid and solid phases are not identical leading to local thermal non-equilibrium (LTNE) conditions, and hence we require two heat transport equations: one for each phase. This model arises when a hot (cold) fluid flows through a relatively cold (hot) porous medium. This situation usually appears in geothermal and chemical engineering applications. The flows outside the boundary layers are approximated by a linear variation along with the streamwise directions. The governing equations that model the problem are solved numerically using the Chebyshev collocation method. The chief focus is on the application of the Chebyshev collocation method for the system of ordinary differential equations that essentially governing the fluid flow and heat transfer in the boundary layers. The numerical results show that the thickness of the boundary layer is thinner in the streamwise direction, and also predicts the reverse flow in the other direction for a negative three-dimensionality parameter. The thinning of the boundary layer thickness is found for higher permeability values. In the case of forced convection regime, both interphase rate of heat transfer and porosity scaled conductivity are decreased towards zero, the temperature of the fluid phase gradually deviates from solid porous medium temperature thereby showing LTNE effects. The various results corresponding to the LTNE are shown to be a continuation of the classical heat transfer already present in the local thermal equilibrium. The temperature difference which arises out of the LTNE is suitable in most industrial applications. Further, to assess the nature of these flows for a large time, a linear stability analysis is performed to see whether or not the obtained solutions are practically realizable. It is found that all the obtained solutions are always stable, and hence are indicative of practically significant. The fluid dynamics of these mechanisms are discussed in detail.

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“…Their study indicated that in the presence of activation energy, the concentration profiles of nanoparticles increase. Flow study of the moving wedge concerning heat transfer in several aspects has recently been configured by several researchers, including Anuar et al (2021), Awaludin et al (2018), Kudenatti et al (2020), and Rajagopal et al (1983).…”

Section: Introductionmentioning

confidence: 99%

Flow and heat transfer over a permeable moving wedge in a hybrid nanofluid with activation energy and binary chemical reaction

Zainal¹,

Naganthran

Pop

2021

HFF

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Purpose The analysis of boundary layers is needed to reflect the behaviour of fluid flows in current industrial processes and to improve the efficacy of products. Hence, this study aims to analyse the flow and heat transfer performance of hybrid alumina-copper/water (Al2O3-Cu/H2O) nanofluid with the inclusion of activation energy and binary chemical reaction effect towards a moving wedge. Design/methodology/approach The multivariable differential equations with partial derivatives are converted into a specific type of ordinary differential equations by using valid similarity transformations. The reduced mathematical model is elucidated in the MATLAB system by using the bvp4c procedure. This solution method is competent in delivering multiple solutions once appropriate assumptions are supplied. Findings The results of multiple control parameters have been studied, and the findings are verified to provide more than one solution. The coefficient of skin friction was discovered to be increased by adding nanoparticles volume fraction from 0% to 0.5% and 1%, by almost 1.6% and 3.2%. Besides, increasing the nanoparticles volume fraction improves heat transfer efficiency gradually. The inclusion of the activation energy factor displays a downward trend in the mass transfer rates, consequently reducing the concentration profile. In contrast, the increment of the binary reaction rate greatly facilitates the augmentation of mass transfer rates. There is a significant enhancement in the heat transfer rate, approximately 13.2%, when the suction effect dominates about 10% in the boundary layer flow. Additionally, the results revealed that as the activation energy rises, the temperature and concentration profiles rise as well. It is proved that the activation energy parameter boosts the concentration of chemical species in the boundary layer. A similar pattern emerges as the wedge angle parameter increases. The current effort aims to improve the thermal analysis process, particularly in real-world applications such as geothermal reservoirs, chemical engineering and food processing, which often encountered mass transfer phenomenon followed by chemical reactions with activation energy. Originality/value The present results are original and new for the study of flow and heat transfer over a permeable moving wedge in a hybrid nanofluid with activation energy and binary chemical reaction.

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Boundary-layer flow of the power-law fluid over a moving wedge: a linear stability analysis

Cited by 20 publications

References 20 publications

Duality Solutions in Hydromagnetic Flow of SWCNT-MWCNT/Water Hybrid Nanofluid over Vertical Moving Slender Needle

Duality Solutions in Hydromagnetic Flow of SWCNT-MWCNT/Water Hybrid Nanofluid over Vertical Moving Slender Needle

Local thermal non-equilibrium effects in forced convection stagnation boundary layer flows in a porous medium: the Chebyshev collocation method for coupled system

Flow and heat transfer over a permeable moving wedge in a hybrid nanofluid with activation energy and binary chemical reaction

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