### Determine the necessary shell temperature

Assignment Help MATLAB Programming
##### Reference no: EM13396

In a shell-and-tube heat exchanger, one fluid passes through a central tube while another fluid flows through an outer shell in the opposite direction. The purpose is to heat the fluid passing through the central tube.  It is possible to maintain a constant temperature TS of the outer shell fluid by continually condensing a vapor (for example, steam) along the length of the shell.

By integrating a heat balance equation along the tube, it is possible to relate the length L and diameter D of the heat exchanger to the input temperature T1  and output temperature T2 :

and where

P  = viscosity of the fluid (depends on T)

k  = thermal conductivity of the fluid (depends on T)

cp  = specific heat of the fluid (depends on T)

m  = flow rate of the fluid through the tube

D  = diameter of the tube

The temperature dependence of the specific heat, viscosity, and thermal conductivity depend on the working fluid and, therefore, upon temperature,  T.  For this assignment use:

The thermal conductivity data, k(T), has been evaluated, experimentally, at only a few data (temperature) points.  We have decided, therefore, to use a polynomial approximation and we do so with the full knowledge that our experimental data may contain errors.

where T is measured in degrees Fahrenheit ( F) throughout.

The Problem:

Given the values of D, m, T1, T2, L, determine the necessary shell temperature, TS. In particular, given that D =1.95 inches (convert to ft), m = 25 lb/hr, 170o TF, and the heat exchanger length is L = 5 ft, find the shell temperature Ts needed to heat the output gas to T2  =  360oF.

#### Questions Cloud

 Model a discrete-time system : To understand di erent signal models To be able to model a discrete-time system and design simple signal processing algorithms. Financial assessment of mk robe-stones limited business plan : Financial Assessment of MK Robe-Stones Limited Business Plan. Generate descriptive statistics : Generate descriptive statistics. Create a stem-and-leaf plot of the data and box plot of the data. Supply chain network design for cwc : This assignment explain the supply chain management process of cwc. What is the current annual supply chain cost? Determine the necessary shell temperature : In a shell-and-tube heat exchanger, one fluid passes through a central tube while another fluid flows through an outer shell in the opposite direction. The purpose is to heat the fluid passing through the central tube. Hydraulic behaviour in open channel : Describe how test flumes and associated equipment are used to assess and confirm hydraulic behaviour in open channel Prepare general journal entries to record the transactions : Prepare general journal entries to record the transactions, assuming use of the periodic inventory system Finite-state machine design : Create a finite-state machine design to turn your FPGA development board into a simple programmable music box. Report on individual research : Provide an executive summary of the individual research

### Write a Review

#### Finite difference method

Use the finite difference method to calculate the temperature at the point specified since it is easier.