Problem Set: Rankine Cycles
Problem 1: Calculate the thermal efficiency of a simple Rankine cycle for which steam leaves the boiler
as saturated vapor at 3 x 106 N/m2 and is condensed to saturated liquid at 7000 N/m2. The pump and
turbine have isentropic
xii/11W] CD05 WM 9/3 A, 5:25m7u/21.WMJ>
,4ng 1,.3 7w!)
1.3 Assess the number of degrees of freedom for
the system shown in Figure Pl .3.
1.5 Determine the elastic modulus of the beam of
Problem 1.4 if it is simply supported and the
weight is placed at t
r; . 7 1! I:
.= - and. 4+. w7~
1.20) From Eq.(].63) e 5'1an -
= coshwsinhw :3; an 75 ~z/ #2
ev : \EP720,201
e" +2" = 2coshu/ 2 COShU/ = .,_qm_,.-_~ _- , - h.
v _ w
e"-e' = 25inhw 2, Sinhr = e 5e
2.2) m: k,
m.
lo ,5
k .
"1. +mptz=wz kamll
650:462 Power Plants Quiz 3
NAME: _
Closed book; One page of notes and steam tables
October 13, 2016
Consider a steam power plant that operates on a simple Rankine cycle and has a net flow
rate of water through the boiler of 60 kg/min. The high pressure s
Rutgers University
School of Engineering
Dept. of Mechanical & Aerospace Engineering
650:443
Vibrations
Sept. 23, 2016
Homework #3 - Solutions
2.19)
M=
0
I 0(
rod )
+ rcyl macyl
Lmg sin + kT = L mL
mL2 + kT Lmg sin =
0
sin 1
kT mgL
0
2
=
mL
+
g
650:462 Power Plants Quiz 2
NAME: _
September 26, 2016
Closed Book, one page of information allowed along with steam tables
A closed, rigid tank of volume 0.6 m3 contain a
two-phase liquid-vapor mixture of H2O at 300
kPa. The volume occupied by saturated
Rutgers University
School of Engineering
Dept. of Mechanical & Aerospace Engineering
650:443
Vibrations
Sept. 13, 2016
Homework #1 - Solutions
1.3)
1 degree of freedom
if is known, then and x are known
1.5)
=
k
W 200 lb
4 23 8 4
= 1 = 400 lb/in, =
I
=
in
650:462
Power Plants
Quiz #1
Closed Book
September 19, 2016
Answer each question briefly. Each is worth one point
1
What is a
BTU?
British thermal unit measuring energy needed to raise 1 lbm of water 1 degree
farenheit
2
What is a
decatherm?
1 million BTU
Rutgers University
School of Engineering
Dept. of Mechanical & Aerospace Engineering
650:443
Vibrations
Oct. 18, 2016
Homework #6 Solutions
3.3)
=
15 rad/sec,
=
10 lb ft, =
W 20 lb, =
R 15",=
r 1",=
L 3ft
0
Adding applied torque to the development of Ex
650:462 Power Plants Quiz 4
NAME: _
Closed book; steam tables; one page of notes
October 24, 2016
Mixing is an irreversible event and thereby should create entropy. Consider the entropy
production in an open feedwater heater. In this case 60 kg/min of liq
LECTURE 10
General Problems and
Incompressible Substance
3.12 3.14
Example 1
Calculate the change in enthalpy (kJ/kg)
for nitrogen between T1 = 25C and T2 =
650C using the ideal gas tables.
Compare the result to that found by using
the polynomial equatio
LECTURE 16
2nd Law and Entropy
5.9,5.10, 6.1-6.3
Example
An aspiring inventor has offered to sell the
Student Union a food freezer unit which would
maintain an inside temperature of -37C and
would have a COP of 4.0. Assume the units
would be located in a
LECTURE 24
Vapor Compression Cycles
9.8-9.11
Introduction
Vapor-compression cycle is used to provide cooling in
refrigerators and air-conditioners, and heating in heat
pumps.
Heating and cooling technologies based on the vaporcompression cycle have beco
LECTURE 19
Entropy Balance for Close and
Open Systems
6.12, 6.13, 7.1, 7.2
Example
A closed vessel has a volume of 2 m3. In the vessel is 4
kg of water (liquid plus vapor) at a pressure of 200 kPa.
The surroundings are at a temperature of 160 C. There
is
LECTURE 20
2nd Law Analysis in a CV
7.3 7.6
The Entropy Equation, Steady State Single Flow
Single Steady State Flow Shaft Work.
Gibbs relation:
T ds = dh v dP
Actual Process:
q = T ds T sgen = dh v dP T sgen
e
Integrate i to e:
e
q = he hi
v dP
T sgen
LECTURE 9
Enthalpy & Specific Heat
3.9-3.11
Quiz 2
15 min
The Enthalpy
Example: The constant P process
Recall the work for a constant pressure process
1W2
=
P dV
= P dV = P (V2 V1)
Assume changes in kinetic and potential energies are zero, the
energy eq
LECTURE 23
Vapor Power Cycles with
Phase Change
9.1-9.4
The Rankine Cycle
Its the major vapor power cycle used today.
vs
Like the Brayton Cycle, the Rankine cycle also consists of two
isentropic pressure change processes (1-2 and 3-4) and two
isobaric h
LECTURE 17
Entropy Change
6.4-6.7
Quiz 4
15 min
Calculation of Entropy Change
Entropy is a state function. The entropy change
is determined by its initial and final states only
In analyzing irreversible process, it is not
necessary to make a direct ana
LECTURE 15
Introduction to 2nd Law
and the Carnot Cycle
5.2-5.8
Heat Engines and Refrigerators
Historical development of the second law.
Possibility of running heat engines and refrigerators.
Cyclic Machines-Energy Conversion
Devices
Heat engines:
To prod
LECTURE 21
Gas Power Cycles
10.1-10.4
Basic Concepts
Gas power cycles: The working fluid is always a gas.
Internal-combustion engine: which burns its fuel inside its
working cylinders or chambers like the gasoline, diesel, or gas
turbine engine. The wor
Lecture 5
Property Evalua1on &
Ideal-Gas Equa1on
The Liquid and Solid States
Main characteris1c: Incompressible, weak func1on of T, meaning
v constant = 1/ = v(T)
Solid: v = v(T) vi
Lecture 2
Property, State, Process and Cycle
Property & State
State: The condi:on of a system at a given instant is called state. It is a specic
condi:on expressed by a unique set of property values like P, T
LECTURE 18
Principle of The Increase of
Entropy
6.8-6.13
Process Equation Using Entropy
Process: Isentropic, s = constant.
A simple reversible adiabatic compression or expansion is an isentropic process. From
the previous expressions for changes in s we c
LECTURE 13
Multiple Flow Devices
& The Transient Process
4.5- 4.7
The Energy Equation, Multiple Flows
To illustrate multiple flows look at the mixing chamber.
The continuity and energy equations for this case become
.
.
.
Continuity Eq. 4.9:
0 = m1 + m2 m
LECTURE 25
Review (I)
Overview
The 1st and 2nd laws of thermodynamics and their
applications to analyses in various processes, fluid
devices, and power cycles.
Work and heat, internal energy and enthalpy, entropy.
Properties and state of a pure substan
LECTURE 12
Examples of Steady-State
Process & Applications
4.4, 4.7
Heat Exchangers
Two non-mixing flow streams are
allowed to exchange heat within
the control volume.
Heat is transferred from one fluid
to another fluid.
In general, no work and heat
in
Lecture 1
Thermodynamics 650:351
Syllabus available on Sakai
Textbook: Fundamentals of Thermodynamics,
8th ed., Borgnakke & Sonntag, John Wiley and
Sons, 2013
Instructor: Prof. Zhixiong Guo
B241 Busch Campus