Engr Thermo Flashcards

1
Q

This equation represents the change in energy of a system (ΔE) w.r.t the heat added to the system (Q) and the work done by the system (W).

A

ΔE=Q−W

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2
Q

This equation represents the change in internal energy (ΔU) of a system w.r.t to the heat added to the system (Q) and the work done by the system (W).

A

ΔU=Q−W

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3
Q

This equation calculates the work done by a system undergoing a change in volume (ΔV) against a pressure (P)

A

W=PΔV

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4
Q

This equation represents the enthalpy (H) of a system w.r.t. internal energy (U), pressure (P), and volume (V) (P-V WORK)

A

H=U+PV
h=u+Pv

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5
Q

These equations help to determine heat transfer (Q) using specific heat capacities (Cp for isobaric, Cv for isochoric)).

A

Q=mCpΔT (for constant pressure)
Q=mCvΔT (for constant volume)

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6
Q

Heat by conduction (Qcond)

A

Qcond=kA(ΔT/Δx)

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7
Q

Heat by convection (Qconv)

A

Q=hAΔT

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8
Q

Heat by radiation (Qr)

A

Qr=εσA (T^4 −T∞^4)

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9
Q

Heat transfer as a function of internal heat (u) and work (W)

A

Q=m(u2−u1)+W=m(u2+Pv2−u1−Pv1)

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10
Q

Enthalpy for two-phase mixture (h)

A

h = ((1-x)hf) + (xhg)

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11
Q

Work being done at linearly varying pressure (W)

A

W=(1/2)​(P1+P2)(V2−V1)

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12
Q

Finding quality/mass fraction of vapor (x)

A

x = (h - hf) / hfg

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13
Q

What does it mean when there is a dot on top of a variable

A

Divide by Δt (change in time), will be denoted generally as a “rate”

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14
Q

What does it mean when the variable is in a lowercase?

A

Divide by m (mass), will be noted as “per unit mass,” applicable in situations where mass remains constant

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15
Q

Conservation of mechanical energy between two points in a system

A

E2-E1 =U2-U1 +1/2m(V2^2-V1^2) +mg(Z2-Z1)

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16
Q

Continuity and Energy eqns. when there are 3 storage spaces, no mass enters/leaves, one Wout term (B), two Win terms (A,C)

A

mcv = mA+mB+mC = in - out = 0
Ecv = EA + EB + EC = in - out = QA + QC - WB

17
Q

Continuity and Energy eqns. when steady-state conditions with a singular flow are applied

A

0 = mi - me , mi = me = m
0 = Q- W + mihi - mehe, q + hi = w + he

18
Q

Continuity and Energy eqns. when steady-state conditions with multiple flows (A,B) are applied into a mixing chamber (C)

A

0 = mA+mB -mC, mC = mA+mB
0 = mAhA + mBhB -mC*hC + Q,
q = hC-hA-hB