Ask Question, Ask an Expert

+1-415-315-9853

info@mywordsolution.com

Ask Chemical Engineering Expert

The non-steady-state temperature distribution in a thin metal bar is described by the following partial differential equation:

ρ Cp ∂T/∂T =K ∂2T/∂X2

where ρ is the material density, Cp its heat capacity, and k its thermal conductivity.

A 6 cm long aluminum bar initiatly has a temperature distribution as follows:

T(x,0)=O°C for O cm ≤x ≤ 6cm

The sides of the bar are insulated and the two ends are subject to the following boundary conditions:

T(x,t)=20°C           at x = 0 cm for t> 0

qx= 540 kW m-2      at x = 6cmfor t>0

Use a numerical technique to estimate the temperature distribution in the bar at the following times: 0.5 sec, 1 sec, and 1.5 sec. You must use a simple explicit technique with a spatial discretization Δx = 1 cm and a time increment Δt = 0.25 sec. Check that the method will be convergent and stable for these spatial and temporal increments.

Using a sketch indicate how you think the temperature distribution will change with time. What is the final steady state temperature distribution in the aluminium bar?

For aluminium: k = 0.27 kW m-1 K-l

ρ= 3000 kg m-3

Cp = 0.9 kJ kg-1k-1

Chemical Engineering, Engineering

  • Category:- Chemical Engineering
  • Reference No.:- M91892

Have any Question? 


Related Questions in Chemical Engineering

A young r amp d engineer at carron chemical company has

A young R & D engineer at Carron Chemical Company has synthesized a sensational new fertilizer made of just two interchangeable basic raw materials. The company wants to take advantage of this opportunity and produce as ...

The bottom of a pan is made of a 4-mm-thick aluminium layer

The bottom of a pan is made of a 4-mm-thick aluminium layer. In order to increase the rate of heat transfer through the bottom of the pan, someone proposes a design for the bottom that consists of a 3-mm-thick copper lay ...

A person while driving a car in a cyclone and waiting at an

A person, while driving a car in a cyclone and waiting at an intersection, hears a thumping sound when a power line falls across the car and makes contact with the chassis. The power line voltage to ground is 2400 V. Ins ...

Give graphs that illustrate the sequence of operations in

Give graphs that illustrate the sequence of operations in gas chromatography; normal sequence, chromatogram without heartcutting. with hearcutting.

A thermocouple is a temperature-measurement device that

A Thermocouple is a temperature-measurement device that consists of two dissimilar metal wires joined at one end. An oversimplified diagram follows. A voltage generated at the metal junctions is read on a potentiometer o ...

Critically analyze the pros and cons of putting a price

Critically analyze the pros and cons of putting a price ceiling on prescription medicine. Make sure to use concepts from both chapters seen this unit such as government intervention, inefficiencies, price elasticity, etc ...

In a test on the vaporization of h20 into air in a

In a test on the vaporization of H20 into air in a wetted-wall column, the following data were obtained: Tube diameter, 1.46 cm, Wetted-tube length, 82.7 cm Air rate to tube at 24oC and 1 atm, 720 cm3/s Temperature of in ...

Guaifenesin guaiacol glyceryl ether Guaifenesin (Guaiacol glyceryl ether,

Guaifenesin (Guaiacol glyceryl ether, 3-(2-Methoxyphenoxy)-1,2-propanediol, C10H14O4) is an expectorant that is found in cough medicines such as Actifed TM and Robitussin TM . U.S. 4,390,732 (to Degussa) describes a prep ...

The 50-turn coil in the configuration of figure p1213 is

The 50-turn coil in the configuration of Figure P12.1.3 is rotated at a constant speed of 300 r/min. The axis of rotation is perpendicular to a uniform magnetic flux density of 0.1 T. The loop has width w = 10 cm and len ...

Consider a simple double-pipe heat exchanger where a liquid

Consider a simple double-pipe heat exchanger where a liquid stream is being heated by condensing leaves (z L) at TL(L. t). Heat transfer takes place between the steam (TS and the wa (T nd then is a "lumped" variable, Ts. ...

  • 4,153,160 Questions Asked
  • 13,132 Experts
  • 2,558,936 Questions Answered

Ask Experts for help!!

Looking for Assignment Help?

Start excelling in your Courses, Get help with Assignment

Write us your full requirement for evaluation and you will receive response within 20 minutes turnaround time.

Ask Now Help with Problems, Get a Best Answer

A cola-dispensing machine is set to dispense 9 ounces of

A cola-dispensing machine is set to dispense 9 ounces of cola per cup, with a standard deviation of 1.0 ounce. The manuf

What is marketingbullwhat is marketing think back to your

What is Marketing? • "What is marketing"? Think back to your impressions before you started this class versus how you

Question -your client david smith runs a small it

QUESTION - Your client, David Smith runs a small IT consulting business specialising in computer software and techno

Inspection of a random sample of 22 aircraft showed that 15

Inspection of a random sample of 22 aircraft showed that 15 needed repairs to fix a wiring problem that might compromise

Effective hrmquestionhow can an effective hrm system help

Effective HRM Question How can an effective HRM system help facilitate the achievement of an organization's strate