THERMODYNAMICS - CHAPTER 3
ENERGY TRANSFER AND GENERAL ANALYSIS

TOTAL ENERGY OF A SYSTEM E (kJ)
in the absence of other forms, E includes internal, kintetic, and potential energies (also other forms)
Screenshot 2018-12-03 15.24.18
= Screenshot 2018-12-03 15.24.34

thermal

mechanical enery e mech

Mechanical energy of a flowing fluid per unit mass Screenshot 2018-11-08 10.59.37

potential energy

electric

magnetic

chemical

nuclear

microscopic forms

macroscopic forms

Sum of E microscopic = internal energy

  • related to molecular structure and degree of molecular activity

image
OR
pe = g. z (kJ/kg)

z: elevation of the center of gravity of a system relative to some arbitrarily selected reference level

mass flow rate (kg/s)
Screenshot 2018-11-08 10.42.42

Energy flow rate

: Screenshot 2018-11-08 10.42.47

Thermal = Sensible + Latent

Internal = Sensible + Latent + Chemical + Nuclear

static vs. dynamic forms

static forms: The total energy of a system, can be contained or stored in a system

dynamic forms (or energy interactions): The form of energy not stored in a system

E transfer in a closed system

HEAT TRANSFER

WORK

driving force = temparature difference

Heat transfer per unit mass: q = Q/m (kJ/kg)

Amount of heat transfer Q when heat transfer rate Q' = constant (kJ): Q = Q'.Δt

Q when heat transfer rate is changed with time Q = ∫ t1 to t2 of Q'.dt

adiabatic syst : no heat with its surroundings Q = 0 🚩

image

HT mechanisms (slide 11 - chapter 3)

conduction

convection

radiation

E transfer = force acting through a distance

to RAISE a body

to ACCELERATE a body

w = change in the potential energy of the body

W = change in the kinetic energy of the body

non-mechanical forms

mechanical forms:

  • there must be a force acting on the boundary.
    – the boundary must move.

Work = Force x Distance OR W = F . s (kJ)

when force is not constant: W = ∫ 1 to 2 of F. ds

Shaft work: A force F acting through a moment arm r
generates a torque T

image

W sh = F.s with s = (2pi.r) n as F acts through a distance s

Power transmitted through the shaft W' sh = shaft work done per unit time

  • with n' =

image

SPRING WORK

When the length of the spring changes by a differential amount dx under the influence of a force F, the work done is image

For linear elastic springs, the displacement
x is proportional to the force applied; OR F = k.x (kN) with k: spring constant (kN/m).

image

The displacement of a linear spring doubles when the force is doubled

image

W spring = 1/2 k (x2^2 - x1^2)


x1 and x2: the initial and the final displacements

Work done on Elastic solid bars - SLIDE 17

Electrical work - SLIDE 18

Power = work done per unit time W' (kW)

Work done per unit mass w = W/m (kJ/kg)

Some definitions for a thermodynamic cycle

A process: the final and initial states are identical
AND
∆U = 0 for a whole numbers of cycles.

composed of processes that cause the working fluid to undergo a series of state changes through a process or a series of processes

first law for a closed system operating in a thermodynamic cycle
∆E cycle = Q net - W net
AND
Q net = W net
OR: Q in - Q out = W out - W in

Energy conversion efficiiencies

Performance = Desired output / Required input

Efficiency of a water heater

SEE microscopic energies

internal: see microscopic forms

heat transfer

work

kinetic enery KE
Screenshot 2018-12-03 15.09.50
OR kinetic energy per unit mass
Screenshot 2018-12-03 15.14.03

Rate of mechanical energy of a
flowing fluid Screenshot 2018-11-08 10.59.44

Mechanical energy change of a fluid during incompressible flow per unit mass (kJ/kg) Screenshot 2018-11-08 10.59.56

Rate of mechanical energy change of a fluid during incompressible flow (kW) Screenshot 2018-11-08 11.00.09

total energy of a system on a unit mass
e = E / m (kJ/kg)

remarks for KE and PE: for stationary processes, there is NO change in KE and PE. In other words,for the stationary processes ΔE = ΔU ❤

HEAT = HEAT TRANSFER

adiabatic processes = NO heat transfer. NOTE: adiabatic process is different from isothermal processes. ❤

IMPORTANT CHARACTERISTICS OF HEAT AND WORK TRANSFERS P. 63

FIRST LAW OF THERMODYNAMICS
: Screenshot 2018-12-04 09.55.19


While the mechanisms of Energy Transfer, E in and E out:
E in - E out = (Q in - Q out) + (W in - W out) + (M in - M out)

  • adiabatic processes: NO heat transfer
  • closed system: NO mass transfer

For a closed system undergoing a cycle ( a cycle: the final state is identical to the initial state) or Ein = E out, therefore:
W net,out = Qnet, in (or W = Q)


W net, out = W out - W in (when sign convention is used)
Q net, in = Q in - Q out


Screenshot 2018-12-05 14.47.46
Note the differential form

Energy change of a system during a process
Screenshot 2018-12-04 09.48.23
AND
Screenshot 2018-12-04 09.57.11
WITH
Screenshot 2018-12-04 09.48.11 Screenshot 2018-12-04 09.57.26
Screenshot 2018-12-04 09.57.48

MECHANICAL EFFICIENCY OF A DEVICE OR A PROCESS
Screenshot 2018-12-04 10.45.17 Screenshot 2018-12-04 10.45.09
Screenshot 2018-12-04 10.45.33
= Screenshot 2018-12-04 10.45.40

For pumps
Screenshot 2018-12-04 10.51.31 Screenshot 2018-12-04 10.51.44
w' pump,u: the useful pumping power supplied to the fluid.

Screenshot 2018-12-04 10.55.48 Screenshot 2018-12-04 10.56.11

OUTLINES:
understanding of the most important points

  • What is E, e, and E'
  • what are the forms of E and the three common forms
  • what is the 1st law of thermodynamics
  • what is mechanical energy, mechanical efficiency of pumps and turbines
    What is the motor efficiency?

EXERCISE