Thermal Analysis of Fin: Comparative Thermal Analysis of Rectangular Fin and Rectangular Porous Fin

The fins are extended surfaces that are made to increase the rate of heat transfer through the equipment/components. Generally, they used for faster cooling of the equipment/components. The comparative thermal analysis of rectangular fin and porous fin is done in the paper. Both the fins are subjected to same conditions i.e., both the fins have same room temperature, have same dimensions

, Presenting the numerical solution for steady, developing forced convection between two isothermal parallel-plate channel with porous fins.This study reports that heat transfer can be increased with the help of higher thermal conductivity porous fins, smaller Darcy numbers, and longer microscopic inertial coefficients.
Kota LeelaSaiBharath, V Pradeep Kumar, [5] conducted experiment over a different geometric shape and size.Thermal analysis is done for all cases.By observing the thermal analysis results, the overall heat flux is generated more in rectangular perforation fin.Hence, it is expected to be dissipating more heat from the surface and Temperature at the end of fin with rectangular perforation is minimum as compare to fin with other cases.
Kannan C, Sathyabalan P, Ramanathan S, [6] in this study the rectangular fins with different perforation are analyzed using numerical methods.The drop in temperature along solid fin is higher compared to a perforated fin.The heat dissipation rate can be increased with perforation on the fin surface.The perforation dimension and lateral spacing and number of perforations play a vital role in increasing heat dissipation rate.
GolnooshMostafavi, [7] Experimental, numerical and analytical studies were performed in order to establish optimized geometrical fin parameters for natural convection heat transfer from vertically installed interrupted rectangular fin arrays.The prepared samples were tested in the lab and collected data were compared with the numerical and analytical models developed in this study.The numerical and analytical results were successfully verified by experimental data; the mean relative difference found was 4.6% and the maximum relative difference was 14%.D Merwin Rajesh,K Suresh kumar, [12]simulating the various engine cylinder models considering various parameters like material, geometry, height of fins and the number of fins at certain velocities.Heat transfer through the stepped fins is more than their Heat corresponding rectangular fin models.Fins with the length of 16mm showed better performance than their 13mm counterparts regardless of the other parameters.Aluminum Alloy 6061 is better since heat transfer rate, efficiency and effectiveness of the fin is more.

PROBLEM STATEMENT
Considered 2 fins one with half of length of fin has holes and other without holes, calculating the Rate of heat transfer from the fins, effectiveness and efficiency of both fins.

MATERIALS AND METHODS
The material used for the fin is Aluminum and the thermal conductivity of aluminum K is 225 W/m 2 K Assumptions: 1.

4.
Temperature is function of space in x-direction only.
Heat transfer via radiation is negligible.

7.
Thermal conductivity is not function of temperature.8.
L2 region will have fins with holes.9.
Heat transfer coefficient is constant for whole surface.10.
Fin is non-insulated with finite length.

Thermo-physical quantities
Value Unit Below is the data for plotting graph.The next region is with pores/holes so formula cannot be directly applied for heat transfer, as formula for heat transfer from fin with holes is unknown.

Calculations for new area (surface area with holes):
Area As mentioned earlier the formula cannot be applied directly, therefore making some considerations Whatever, area that will be increased assuming it to be on fin surface as shown in below figure.

Design of Fin
Design is done in Solidworks.

2.2Simulation Analysis Steady State Thermal Analysis:
Computational Fluid Dynamics (CFD) is the process of mathematically modeling a physical phenomenon involving fluid flow and solving it numerically using the computational prowess.
In this project we have used the Conjugate Heat Transfer (CHT) analysis type.This allows for the simulation of heat transfer between solid and fluid domains by exchanging thermal energy at the interfaces between them.Typical applications of this analysis type exist as, but are not limited to, the simulation of heat exchangers, cooling of electronic equipment, and general-purpose cooling and heating systems.

Flowchart of Analysis:
The simulation analysis is done on software called Simscale, it is cloud simulation software.The results are as below.The simulation of both the fins showed results that are other matter that the simulation of non-porous fin had some error during run-time.
The result of porous fin has shown temperature gradient in y as well as x direction.Whereas, the result for non-porous fin just have shown the result of fin surface in y-direction

RESULTS AND DISCUSSION
The temperature variation of the non-porous fin with its length has been plotted, and the effectiveness of both the fins i.e., the porous and non-porous has been calculated.The values of effectiveness are 36.26for non-porous fins and 39.46 for porous fins.The efficiency of porous and non-porous has been calculated.The values of efficiency are 86.702% for non-porous fins and 89.325% for porous fins.

CONCLUSION
The rate of heat transfer from the fin with holes is more than the heat transfer from the fin without fin.The effectiveness and efficiency from the fin with holes are greater than the fin without holes.The fin with holes is good choice for better cooling purpose.The result of porous fin has shown temperature gradient in y as well as x-direction.Whereas, the result for non-porous fin just have shown the result of fin surface in y-direction.

Fig. 1 :
Fig.1: Schematic for energy balance of fin without holes

Fig. 5 :
Fig.5: Rough figure for extra area that will be generated.