Analytical study of temperature distribution in a rectangular porous fin considering both insulated and convective tip

2017 ◽  
Author(s):  
Tuhin Deshamukhya ◽  
Dipankar Bhanja ◽  
Sujit Nath ◽  
Ambarish Maji ◽  
Gautam Choubey
Keyword(s):  
Temperature Distribution ◽  
Analytical Study ◽  
Porous Fin

Analytical Study of Heat and Mass Transfer in Porous Sheets During Contact Drying Process

2008 ◽  
Author(s):  
Mohammad R. Izadpanah ◽  
Amir R. Ansari Dezfooli
Keyword(s):  
Mass Transfer ◽  
Temperature Distribution ◽  
Moisture Content ◽  
Close Agreement ◽  
Analytical Study ◽  
Numerical Data ◽  
Drying Process ◽  
Governing Equations ◽  
Sturm Liouville ◽  
Contact Drying

Contact drying process has gained wide application in different industries including paper, ceramics and construction industries. Suitable control over temperature distribution will result in required moisture content and its distribution. In the present study, governing equations for a porous sheet are derived using Luikov equation. These equations are then converted into sturm-liouville equations and solved simultaneously. Comparison of temperature and moisture distributions with numerical data shows a close agreement.

Heat Transfer of Thin Fins With Temperature-Dependent Thermal Properties and Internal Heat Generation

1967 ◽  
Vol 89 (2) ◽  
pp. 155-162 ◽  
Author(s):  
H. M. Hung ◽  
F. C. Appl
Keyword(s):  
Heat Transfer ◽  
Thermal Properties ◽  
Temperature Distribution ◽  
Heat Generation ◽  
Analytical Study ◽  
Internal Heat ◽  
Internal Heat Generation ◽  
Temperature Dependent ◽  
Numerical Examples

An analytical study of the temperature distribution along thin fins with temperature-dependent thermal properties and internal heat generation is presented. The analysis utilizes a recently published bounding procedure which yields analytical and continuous bounding functions for the temperature distribution. Several numerical examples are considered. Tabular and graphical results are given. The effects of variable thermal properties and internal heat generation are also shown.

scholarly journals Analytical study of the temperature distribution in solids subjected to nonuniform moving heat sources

2013 ◽  
Vol 17 (3) ◽  
pp. 687-694 ◽  
Author(s):  
Mohamed Hamraoui ◽  
Mounir Chbiki ◽  
Najib Laraqi ◽  
Luis Roseiro
Keyword(s):  
Steady State ◽  
Temperature Distribution ◽  
Power Dissipation ◽  
Relative Velocity ◽  
Analytical Study ◽  
Three Dimensional ◽  
Total Power ◽  
Heat Sources ◽  
Reference Case ◽  
Made In

We propose in this paper an analytical study of the temperature distribution in a solid subjected to moving heat sources. The power dissipated by the heat sources is considered nonuniform. The study was made in steady state. The model is three-dimensional. It is valid regardless of the relative velocity of the source. We have considered three cases of semi-elliptic distribution of the power with: (i) the maximum at the center of the source, (ii) the maximum at the inlet of the source, (iii) the maximum at the output of the source. These configurations simulate the conformity imperfection of contact due to wear and / or the non-uniformity of contact pressure in frictional devices. We compare the temperature change for these different scenarios and for different relative velocities, considering the same total power dissipation. The reference case is that of a uniform source dissipating the same power.

Analytical Study of Transient Heat Transfer in a Triangular Moving Porous Fin with Temperature Dependant Thermal Properties

2019 ◽  
Vol 393 ◽  
pp. 31-46
Author(s):  
Partner Luyanda Ndlovu
Keyword(s):  
Analytical Study ◽  
Closed Form Solution ◽  
Transformation Method ◽  
Form Solution ◽  
Solution Technique ◽  
Porous Fin ◽  
Approximate Analytical Solutions ◽  
Numerical Solver ◽  
The Impact ◽  
Darcy’S Model

The present work investigates heat enhancement through a moving porous fin of trangular profile. The interaction between the fluid and the porous media in not locally thermodynamic equilibrium. The transport through the porous medium is derived using Darcy’s model. The calculations are carried out using the two-dimensional Differential Transformation Method (2D DTM), which is an analytical solution technique that can be applied to various types of differential equations. The approximate analytical solutions are validated using the numerical solution obtained via the inbuilt numerical solver in MATLAB (pdepe). The results reveal that the 2D DTM can achieve accurate results in predicting the solution of such problems. The impact of the thermal parameters on temperature distribution is performed using the closed-form solution generated by DTM.

Inverse Heat Transfer Study of a Nonlinear Straight Porous Fin Using Hybrid Optimization

2014 ◽  
Author(s):  
Ranjan Das ◽  
Rohit Kumar Singla
Keyword(s):  
Heat Transfer ◽  
Thermal Conductivity ◽  
Temperature Distribution ◽  
Gas Turbine ◽  
Measurement Errors ◽  
Turbine Blades ◽  
Gas Turbine Blades ◽  
Porous Fin ◽  
Inverse Heat Transfer ◽  
Transfer Study

Gas turbine blades are subjected to excessive heating load and for safe operation they must be properly cooled for protecting the blade material from damage. This involves external film cooling and internal pin-fin cooling. Cooling using fins are used for gas turbine blades by passing cold air over small extended surfaces. However, it is found that compared to conventional solid fins, for same weight, the usage of porous fins gives better thermal performance. In order to satisfy a given temperature distribution, the fin designer needs to determine various important properties and parameters, which requires solution of inverse problems. These parameters are generally thermo-physical properties for selecting suitable material and dimensions. In this work, an inverse heat transfer study of a porous rectangular fin using a hybrid Differential Evolution (DE)-nonlinear programming (NLP) algorithm has been carried out. The energy exchange in the porous fin is governed by conductive, convective and radiative heat transfer alongwith mass diffusion through the porous media, which makes the problem nonlinear. The fluid medium is assumed to be air. Using DE-NLP algorithm, four important parameters such as porosity, thermal conductivity of solid, length and thickness of the porous fin have been estimated for satisfying a given temperature distribution. Initially, the prescribed temperature distribution is calculated by solving a forward problem based on an implicit Runge-Kutta method working on Lobatto technique. Effects of random measurement errors, comparison of number of iterations and reconstruction distributions for the hybrid DE-NLP and individual NLP, DE schemes are performed. It is observed that the hybrid DE-NLP method converges faster than other two methods working separately. For all measurement errors, a very good reconstruction of the temperature distribution is observed using DE-NLP algorithm. In addition to this, it is found that many feasible combinations of the parameters can satisfy a given temperature distribution, which offers flexibility in selecting various parameters by adjusting the fin size, solid thermal conductivity and porosity.

scholarly journals Cycle Time Reduction in Injection Molding Process by Selection of Robust Cooling Channel Design

2014 ◽  
Vol 2014 ◽  
pp. 1-8 ◽  
Author(s):  
Muhammad Khan ◽  
S. Kamran Afaq ◽  
Nizar Ullah Khan ◽  
Saboor Ahmad
Keyword(s):  
Temperature Distribution ◽  
Injection Molding ◽  
Cycle Time ◽  
Analytical Study ◽  
Injection Molding Process ◽  
Cooling Channel ◽  
Uniform Temperature ◽  
Channel Design ◽  
Molding Process ◽  
Uniform Temperature Distribution

Cycle time of a part in injection molding process is very important as the rate of production and the quality of the parts produced depend on it, whereas the cycle time of a part can be reduced by reducing the cooling time which can only be achieved by the uniform temperature distribution in the molded part which helps in quick dissipation of heat. Conformal cooling channel design is the solution to the problem which basically “conforms” to the shape of cavity in the molds. This paper describes the analytical study of cooling analysis of different types of cooling channel designs. The best cooling channel design is also selected on the basis of minimum time to reach ejection temperature, uniform temperature distribution, and minimum warpage of part. “Creo Elements/Pro 5.0” is used to model the case study, its molds, and the cooling circuit whereas analytical study is done using “Autodesk Moldflow Advisor 2013 (AMFA).”

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