Derive an expression for the maximum theoretical efficiency

Assignment Help Mechanical Engineering

Reference no: EM131211423

You have been tasked by seismic energy to assess the lifetime thermodynamic efficiency of an engineered geothermal system they installed one year ago in southern California. A geological engineering firm has reported that the time evolution of the temperature of the geothermal formation which you are extracting energy from will follow the general relationship:
T(t)=Ae-Bt + C
where T(t = 0 years)= 800K, T(t = 1 years)=790K, and T(t->8)->300K.

a. Solve for each of the constants A, B, and C and plot temperature versus time for 50 years.

b. Derive an expression for the maximum theoretical efficiency of a heat engine utilizing this heat source versus time. Plot the maximum theoretical efficiency versus time for 10 years. Assume that there is sufficient ocean water available to maintain a cold temperature of 295K for heat rejection.

c. Now suppose that the company has installed a steam Rankine heat cycle to convert this heat source into usable work. Plot the efficiency on the same graph as (b). The pressure ratio is 2 and the high pressure is 1 bar (i.e. the cycle runs under vacuum), the isentropic pump efficiency is 90%, and the isentropic turbine efficiency is 75% (Hints: For a basis assume a mass flow rate of 1kg/s of working fluid.

Reference no: EM131211423

Questions Cloud

Use tax rate schedule for reference : Lacy is a single taxpayer. In 2015, her taxable income is $43,200. What is her tax liability in each of the following alternative situations? Use Tax rate schedule for reference.

Use of a polygraph test : Should an employer be allowed to give an employee a polygraph test to see if the employee is being dishonest? What if the employee volunteers (suggests) the use of a polygraph test to prove his/her innocence in order to save him/herself from disci..

Design a cam to raise a valve with simple harmonic motion : If the camshaft rotates at uniform speed of 100 r.p.m.; find the maximumvelocity and acceleration of a valve during raising and lowering.

Analysis of stockholders equity the stockholders : Analysis of Stockholders' Equity The Stockholders' Equity section of the December 31, 2014, balance sheet of Eldon Company appeared as follows: Required: Determine the following items based on Eldon's balance sheet. Round all calculations except per-..

Derive an expression for the maximum theoretical efficiency : Derive an expression for the maximum theoretical efficiency of a heat engine utilizing this heat source versus time. Plot the maximum theoretical efficiency versus time for 10 years. Assume that there is sufficient ocean water available to maintai..

Write the given literature review : Write the given literature review.- For this assignment review the attached paper and check it is in proper APA format and also check the structure of essay. - Comments are placed in the paper.

Outstanding for both preferred and common stock : Stockholders' Equity Category Peeler Company was incorporated as a new business on January 1, 2014. The corporate charter approved on that date authorized the issuance of 1,000 shares of $100 par, 7% cumulative, nonparticipating preferred stock and 1..

Create a website for online sales of movies : Niles Video Inc. wants to create a website for online sales of movies (DVD and videotapes). People will be allowed to register as customers on the website and to update their stored information.

Accounting for income taxes and losses : Compare and contrast the key similarities and differences between GAAP and IFRS with respect to income tax accounting. Analyze two (2) tax differences and determine which difference would provide the greatest tax benefit to a corporation. Write a bri..

User Account

All Pages