Abstract
This paper describes the calculation of the temperature distribution on the fins, the rate of heat flow released by the fins, the efficiency and effectiveness of the straight fins in the unsteady-state. Calculations are performed using numerical computational methods. The cross section of the fins has a capsule-shape. Fins are made of two different metal materials. The heat-transfer that occurs in fins only occurs in one dimension, namely in the x direction, or perpendicular to the base of the fin. The method used is an explicit finite different method. This paper also explains the influence of fin material on the value of temperature distribution, heat flow rate, fin efficiency and effectiveness. Temperature distribution, heat flow rate, efficiency and efficiency of fins on fins that have two materials with different materials, have different values. This difference is due to material properties of fins such as: material density, specific heat and thermal conductivity. Research can be continued for various fins and cross sections, which are composed of several different materials, according to the needs of the era. Research can also be developed by using boundary conditions which have a fin base temperature that changes with time or receives heat flux.
Highlights
In fin design, knowledge of the temperature distribution of the fins, the rate of heat flow released by the fins, the efficiency of the fins and the effectiveness of the fins in steady-state and unsteady-state are very much needed
This paper describes the calculation of the temperature distribution on the fins, the rate of heat flow released by the fins, the efficiency and effectiveness of the straight fins in the unsteady-state
Research can be continued for various fins and cross sections, which are composed of several different materials, according to the needs of the era
Summary
Knowledge of the temperature distribution of the fins, the rate of heat flow released by the fins, the efficiency of the fins and the effectiveness of the fins in steady-state and unsteady-state are very much needed. A mathematical model for obtaining a temperature distribution on a straight fin that has a fixed cross-section, with two different materials, in a non-steady state, can be determined by Equation (1). If the condition at the base of the fin (x = 0) always has a constant temperature of Tb, and the cross-section surface at the tip of the fin, it always processes heat transfer by convection with the surrounding fluid, the boundary conditions at the base of the fin and at the tip of the fin in this mathematical model, can be stated by Equations (1b), and (1c). The control volume at the base of the fin i = 1 and at the tip of the same fin i = m has a thickness (∆x / 2).
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