Thermal Engineering

Heat-Up Calculator

Calculate the power required to heat a mass in a given time, or find the time required given a power input — using Q = m · Cp · ΔT.

Inputs

Same unit as start temperature
Accounts for heat losses (100% = ideal)

Results

Required power

—

kW

Required power

—

hp

Required power

—

BTU/hr

Total heat energy (Q)

—

kJ

Specific heat used (Cp)

—

kJ/(kg·K)

Inputs

Same unit as start temperature
Accounts for heat losses (100% = ideal)

Results

Required time

—

hours

Required time

—

minutes

Required time

—

seconds

Total heat energy (Q)

—

kJ

Specific heat used (Cp)

—

kJ/(kg·K)

Sensible Heat Equation

Q = m · Cp · ΔT P = Q / t   [required power] t = Q / P   [required time] P_actual = P_ideal / η   [accounting for efficiency]
Q = heat energy (kJ) m = mass (kg) Cp = specific heat capacity (kJ/kg·K) ΔT = temperature rise (K or °C) P = power (kW) t = time (s) η = system efficiency Cp for oils evaluated at mean temperature (T₁+T₂)/2