Time taken for engine to cool Solution

STEP 0: Pre-Calculation Summary
Formula Used
Time taken to cool Engine = (Engine Temperature-Final Engine Temperature)/Rate of Cooling
t = (T-Tf)/Rc
This formula uses 4 Variables
Variables Used
Time taken to cool Engine - (Measured in Second) - Time taken to cool Engine is defined as the time taken for the engine to cool due to the coolant flowing around the engine.
Engine Temperature - (Measured in Kelvin) - Engine Temperature is defined as the temperature of the engine during its operation at any instant.
Final Engine Temperature - (Measured in Kelvin) - Final Engine Temperature is defined as the temperature that the engine has attained after a period of time.
Rate of Cooling - (Measured in 1 Per Second) - Rate of Cooling is defined as the rate of heat loss of a body is directly proportional to the difference in the temperatures between the body and its environment.
STEP 1: Convert Input(s) to Base Unit
Engine Temperature: 360 Kelvin --> 360 Kelvin No Conversion Required
Final Engine Temperature: 305 Kelvin --> 305 Kelvin No Conversion Required
Rate of Cooling: 5 1 Per Minute --> 0.0833333333333333 1 Per Second (Check conversion ​here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
t = (T-Tf)/Rc --> (360-305)/0.0833333333333333
Evaluating ... ...
t = 660
STEP 3: Convert Result to Output's Unit
660 Second -->11 Minute (Check conversion ​here)
FINAL ANSWER
11 Minute <-- Time taken to cool Engine
(Calculation completed in 00.009 seconds)

Credits

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Created by Syed Adnan
Ramaiah University of Applied Sciences (RUAS), bangalore
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Verified by Kartikay Pandit
National Institute Of Technology (NIT), Hamirpur
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22 Fundamentals of IC Engine Calculators

Overall heat transfer coefficient of IC engine
​ Go Overall Heat Transfer Coefficient = 1/((1/Heat Transfer Coefficient on Gas Side)+(Thickness of Engine Wall/Thermal conductivity of material)+(1/Heat Transfer Coefficient on Coolant Side))
Fuel Jet Velocity
​ Go Fuel jet velocity = Coefficient of Discharge*sqrt(((2*(Fuel injection pressure-Pressure of charge inside the cylinder))/Fuel Density))
Rate of convection heat transfer between engine wall and coolant
​ Go Rate of Convection Heat Transfer = Convection Heat Transfer Coefficient*Surface Area of Engine Wall*(Engine Wall Surface Temperature-Temperature of Coolant)
Mass of air taken in each cylinder
​ Go Mass of air taken in each cylinder = (Intake air pressure*(Clearance volume+Displaced volume))/([R]*Intake air temperature)
Heat transfer across engine wall given overall heat transfer coefficient
​ Go Heat Transfer across Engine Wall = Overall Heat Transfer Coefficient*Surface Area of Engine Wall*(Gas side temperature-Coolant Side Temperature)
Power produced by IC engine given work done by engine
​ Go Power produced by IC engine = Work done per operating cycle*(Engine speed in rps/Crankshaft revolutions per power stroke)
Engine displacement given number of cylinders
​ Go Engine Displacement = Engine bore*Engine bore*Stroke Length*0.7854*Number of Cylinders
Rate of cooling of engine
​ Go Rate of Cooling = Rate of Cooling Constant*(Engine Temperature-Engine surrounding Temperature)
Time taken for engine to cool
​ Go Time taken to cool Engine = (Engine Temperature-Final Engine Temperature)/Rate of Cooling
Engine rpm
​ Go Engine RPM = (Speed of vehicle in mph*Gear Ratio of Transmission*336)/Tire Diameter
Kinetic energy stored in flywheel of IC engine
​ Go Kinetic energy stored in the flywheel = (Flywheel moment of inertia*(Flywheel angular velocity^2))/2
Swept Volume
​ Go Swept volume = (((pi/4)*Inner Diameter of Cylinder^2)*Stroke Length)
Work done per operating cycle in IC engine
​ Go Work done per operating cycle = Mean effective pressure in pascals*Displacement volume of piston
Brake output per displacement of piston
​ Go Brake output per displacement = Brake power per cylinder per stroke/Displaced volume
Engine specific volume
​ Go Engine specific volume = Displaced volume/Brake power per cylinder per stroke
Brake specific power
​ Go Brake specific power = Brake power per cylinder per stroke/Area of Piston
Equivalence ratio
​ Go Equivalence ratio = Actual Air Fuel Ratio/Stoichiometric Air Fuel Ratio
Brake work per cylinder per stroke
​ Go Brake work per cylinder per stroke = Bmep*Displaced volume
Compression Ratio given Clearance and Swept Volume
​ Go Compression Ratio = 1+(Swept volume/Clearance volume)
Engine Capacity
​ Go Engine capacity = Swept volume*Number of Cylinders
Mean piston speed
​ Go Mean Piston Speed = 2*Stroke Length*Engine Speed
Peak torque of engine
​ Go Peak Torque of Engine = Engine Displacement*1.25

Time taken for engine to cool Formula

Time taken to cool Engine = (Engine Temperature-Final Engine Temperature)/Rate of Cooling
t = (T-Tf)/Rc

What is the time taken for the engine to cool?

Newton’s law of cooling defines the rate at which an exposed body changes temperature by radiation, which is roughly equal to the difference in temperature between the item and its surroundings, Using Newton’s rule of cooling, we can determine how quickly a substance at a given temperature will cool in any given environment. Furthermore, it explains how the rate of cooling of an object is affected not only by the temperature differential between the material and its surroundings but also by the cooling constant of the material.

How to Calculate Time taken for engine to cool?

Time taken for engine to cool calculator uses Time taken to cool Engine = (Engine Temperature-Final Engine Temperature)/Rate of Cooling to calculate the Time taken to cool Engine, The Time taken for engine to cool formula is defined as the time taken for the engine to cool due to the coolant flowing around the engine at any given instant. Time taken to cool Engine is denoted by t symbol.

How to calculate Time taken for engine to cool using this online calculator? To use this online calculator for Time taken for engine to cool, enter Engine Temperature (T), Final Engine Temperature (Tf) & Rate of Cooling (Rc) and hit the calculate button. Here is how the Time taken for engine to cool calculation can be explained with given input values -> 0.183333 = (360-305)/0.0833333333333333.

FAQ

What is Time taken for engine to cool?
The Time taken for engine to cool formula is defined as the time taken for the engine to cool due to the coolant flowing around the engine at any given instant and is represented as t = (T-Tf)/Rc or Time taken to cool Engine = (Engine Temperature-Final Engine Temperature)/Rate of Cooling. Engine Temperature is defined as the temperature of the engine during its operation at any instant, Final Engine Temperature is defined as the temperature that the engine has attained after a period of time & Rate of Cooling is defined as the rate of heat loss of a body is directly proportional to the difference in the temperatures between the body and its environment.
How to calculate Time taken for engine to cool?
The Time taken for engine to cool formula is defined as the time taken for the engine to cool due to the coolant flowing around the engine at any given instant is calculated using Time taken to cool Engine = (Engine Temperature-Final Engine Temperature)/Rate of Cooling. To calculate Time taken for engine to cool, you need Engine Temperature (T), Final Engine Temperature (Tf) & Rate of Cooling (Rc). With our tool, you need to enter the respective value for Engine Temperature, Final Engine Temperature & Rate of Cooling and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
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