Investigation of a hyperbolic annular fin with temperature dependent thermal conductivity by two step third derivative block method (TSTDBM)

The current paper explores the steady-state heat transfer and thermal stress analysis of a hyperbolic annular fin with temperature dependent thermal conductivity. The framed equations are articulated in terms of non-linear ordinary differential equations. The domination of non-dimensional parameters on the thermal gradient of the fin has been analysed graphically by using Runge-Kutta Fehlberg fourth-fifth order (RKF-45) process and DTM-Pade approximant. Here, differential transformation method (DTM)-Pade approximant has been implemented to find the analytical solution for the non-linear ordinary differential equations. The RKF-45 method is used to obtain numerical outcomes for different non-dimensional parameters. Further, the obtained numerical results are compared with the results achieved from DTM-Pade approximant solution. This relation demonstrates that numerical outcome obtained by DTM-Pade approximant are nearer to that of numerical results. Outcome results exposes that, the escalating values of thermal conductivity parameter upsurges the thermal distribution. The growing values of the radius ratio elevate the thermal distribution in the fin. Further, the radial stress and tangential stress distribution varies for larger values of dimensionless parameters. NomenclatureREVISED

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“…For assessing the heat balance, an element of length dr ' ' of the fin is considered. The temperature equation can be written as follows [19,20]:…”

Section: Mathematical Formulationmentioning

confidence: 99%

Thermal behaviour of annular hyperbolic fin with temperature dependent thermal conductivity by differential transformation method and Pade approximant

Sarwe

Kulkarni

2021

Phys. Scr.

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“…Enhancing the thermal conductivity of any device can be achieved by increasing the surface area, also known as a fin. Small, low-cost fins can be connected to increase the rate of thermal conductivity, which has attracted the attention of numerous researchers (Adeyeye et al ., 2020; Gireesha et al ., 2020; Kasper et al ., 2020; Choudhari et al ., 2020). Aziz and Khani (2010) evaluated the performance of a radial porous fin using the Homotopy Analysis method and compared the analytical results with numerical computation.…”

Section: Introductionmentioning

confidence: 99%

Supervised machine learning techniques for optimization of heat transfer rate of Cu-H₂O nanofluid flow over a radial porous fin

Raza,

Mustaq

et al. 2023

MMMS

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PurposeThe purpose of this paper is to study the thermal behavior of radial porous fin surrounded by water-base copper nanoparticles under the influence of radiation.Design/methodology/approachIn order to optimize the response variable, the authors perform sensitivity analysis with the aid of response surface methodology (RSM). Moreover, this study enlightens the applications of artificial neural networks (ANN) for predicting the temperature gradient. The governing modeled equations are firstly non-dimensionalized and then solved with the aid of Runge–Kutta fourth order together with the shooting method in order to guess the initial conditions.FindingsNumerical results are analyzed and presented in the form of tables and graphs. This study reveals that the temperature of the fin is decreasing as the wet porous parameter increases (m2) and the temperature for 10% concentration of nanoparticles are higher than 5 and 1%. Physical parameters involved in the study are analyzed and processed through RSM. It is come to know that sensitivity of temperature gradient to radiative parameter (Nr) and convective parameter (Nc) is positive and negative to dimensionless ambient temperature (θa). Furthermore, after ANN training it can be argued that the established model can efficiently be used to predict the temperature gradient over a radial porous fin for the copper-water nanofluid flow.Originality/valueTo the best of our knowledge, only a few attempts have been made to analyze the thermal behavior of radial porous fin surrounded by copper-based nanofluid under the influence of radiation and convection.

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“…This takes place when the bulk flow of a fluid possesses heat along with the flow of matter in the fluid and the mode of radiation occurs through vacuum or a transparent medium via photonizer in ferrite nanoparticles in liquid, as explored by Nadeem et al 32 Chu et al 33 considered stagnation point flow with the Carreau model and presented heat and mass transfer facts. The latest investigation about temperature dependent thermal conductivity and hyperbolic annular fin with the technique of the step third derivative block method was done by Adeyeye et al 34 Ullah et al 35 showed the impact of Fourier's heat flux and gravity induced over a heated sensitive surface. Several examinations like thermal analysis of a Casson micropolar nanofluid, effect of lower and higher shear rates of viscosities on the transportation of heat/mass, electromagnetohydrodynamic flow through corrugated walls with variable viscosity, mixed convection with time‐dependent stagnation point flow of a Maxwell fluid and magnetohydrodynamics (MHD) oblique stagnation point flow of a second grade fluid over an oscillatory stretching surface were done by several investigators 36‐42 .…”

Section: Introductionmentioning

confidence: 99%

Interpretation of infinite shear rate viscosity and a nonuniform heat sink/source on a 3D radiative cross nanofluid with buoyancy assisting/opposing flow

et al. 2021

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With respect to bionomical concerns and energy security, the performance of refrigeration systems should be enriched, which can be done by improving the characteristics of working liquids. Nanoliquids have attracted interest in the fields of engineering and industry due to their prominent thermophysical characteristics. Researchers have used nanoliquids as working liquids and noticed significant fluctuations in thermal execution. In this study, our prime aim was to study the impact of thermal radiation and varying thermal conductivity on a cross‐nanofuid with the addition of a nonuniform heat sink–source, chemical process, and activation energy (AE) together with effects of assisting and opposing buoyancy. Furthermore, the relationship of zero‐mass flux together with the mechanism of thermophoresis and Brownian motion is considered. Traditionalistic transformations gave the ordinary differential equations (ODEs), which are further dealt with the approach of the Shooting Scheme to change the boundary value problem (BVP) into an initial value problem (IVP) and a numerical comparison is made with the Matlab solver package bvp4c. Bvp4c is based upon a collocation scheme, which yields numeric outcomes for nonlinear ODEs with IVP. Impacts of the involved parameters on mass transfer profile, heat, and momentum fields are shown through graphs. Mass transfer of the cross nanofluid increases with increasing values of AE parameter. Values of physical quantities like drag forces, rate of transport of heat and mass in the case of assisting/opposing flow are tabulated. The drag force magnitudes are greater for enhancing values of M, a, and n, while on the other hand, the opposing tendency is seen for We1 and We2. The magnitude of the rate of heat transport (Nusselt number) falls for greater values of m, σ, δ, and Nt, but in contrast, it accelerates for E, Pr, and n.

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Investigation of a hyperbolic annular fin with temperature dependent thermal conductivity by two step third derivative block method (TSTDBM)

Cited by 10 publications

References 29 publications

Thermal behaviour of annular hyperbolic fin with temperature dependent thermal conductivity by differential transformation method and Pade approximant

Thermal behaviour of annular hyperbolic fin with temperature dependent thermal conductivity by differential transformation method and Pade approximant

Supervised machine learning techniques for optimization of heat transfer rate of Cu-H₂O nanofluid flow over a radial porous fin

Interpretation of infinite shear rate viscosity and a nonuniform heat sink/source on a 3D radiative cross nanofluid with buoyancy assisting/opposing flow

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Investigation of a hyperbolic annular fin with temperature dependent thermal conductivity by two step third derivative block method (TSTDBM)

Cited by 10 publications

References 29 publications

Thermal behaviour of annular hyperbolic fin with temperature dependent thermal conductivity by differential transformation method and Pade approximant

Thermal behaviour of annular hyperbolic fin with temperature dependent thermal conductivity by differential transformation method and Pade approximant

Supervised machine learning techniques for optimization of heat transfer rate of Cu-H2O nanofluid flow over a radial porous fin

Interpretation of infinite shear rate viscosity and a nonuniform heat sink/source on a 3D radiative cross nanofluid with buoyancy assisting/opposing flow

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Supervised machine learning techniques for optimization of heat transfer rate of Cu-H₂O nanofluid flow over a radial porous fin