Finite-difference method of solution

Assignment Help Mechanical Engineering

Reference no: EM13946211

Consider a horizontal pin fin of 6-mm diameter and 60-mm length fabricated from plain carbon steel (k = 57 W/m · K, s = 0.5). The base of the fin is main- tained at 150°C, while the quiescent ambient air and the surroundings are at 25°C. Assume the fin tip is adiabatic.

(a) Estimate the fin heat rate, qf. Use an average fin surface temperature of 125°C in estimating the free convection coefficient and the linearized radiation coefficient. How sensitive is this esti- mate to your choice of the average fin surface temperature?

(b) Use the finite-difference method of solution to obtain qf when the convection and radiation coefficients are based on local, rather than average, tem- peratures for the fin. How does your result compare with the analytical solution of part (a)?

Reference no: EM13946211

Questions Cloud

Electrical heater of problem : Consider the electrical heater of Problem 7.49. If the blower were to malfunction, terminating airflow while the heater continued to operate at 1000 W/m, what tem- perature would the heater assume?

Common practice in chemical processing plants : Common practice in chemical processing plants is to clad pipe insulation with a durable, thick aluminum foil. The functions of the foil are to confine the batt insulation and to reduce heat transfer by radiation to the surroundings.

Program to convert number to words : Write a program that stores and converts a number entered in Roman numerals to an integer value. Your program must consist of a class named Roman.

Evaluate properties-appropriate film temperature : Consider the hot water pipe of Problem 7.56, but under convection coefficient as a function of only !iT = Ts - Too, where Ts is the sensor temperature. Evaluate properties at an appropriate film temperature and show what effect this approximation ..

Finite-difference method of solution : Use the finite-difference method of solution to obtain qf when the convection and radiation coefficients are based on local, rather than average, tem- peratures for the fin. How does your result compare with the analytical solution of part (a)?

Identify two risks in each of these strategies : Buy a system created for another school and modify it to fit this school's specific requirements

Estimate the surface temperature : An electric immersion heater, 10 mm in diameter and 300 mm long, is rated at 550 W. If the heater is horizon- tally positioned in a large tank of water at 20°C, estimate its surface temperature. Estimate the surface temperature if the heater is ac..

Summaries the successes and failures of outsourcing contract : Summaries the successes and failures of this outsourcing contract. Evaluate the reasons for the successes and failures. What do you think that other organization considering large-scale total outsourcing could learn from this case study?

What is the project payback period : You are considering a project with an initial cash outlay of $80,000 and expected free cash flows of $20,000 at the end of each year for 6 years. What is the project payback period

User Account

All Pages