Rate of cooling of engine Solution

STEP 0: Pre-Calculation Summary
Formula Used
Rate of Cooling = Rate of Cooling Constant*(Engine Temperature-Engine surrounding Temperature)
Rc = k*(T-Ta)
This formula uses 4 Variables
Variables Used
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.
Rate of Cooling Constant - Rate of Cooling Constant states that the rate of heat exchange between an object and its surroundings is proportional to the difference in temperature between the object and the surroundings.
Engine Temperature - (Measured in Kelvin) - Engine Temperature is defined as the temperature of the engine during its operation at any instant.
Engine surrounding Temperature - (Measured in Kelvin) - Engine surrounding Temperature is the temperature of the surroundings of engine at any given instant.
STEP 1: Convert Input(s) to Base Unit
Rate of Cooling Constant: 0.035 --> No Conversion Required
Engine Temperature: 360 Kelvin --> 360 Kelvin No Conversion Required
Engine surrounding Temperature: 290 Kelvin --> 290 Kelvin No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Rc = k*(T-Ta) --> 0.035*(360-290)
Evaluating ... ...
Rc = 2.45
STEP 3: Convert Result to Output's Unit
2.45 1 Per Second -->147 1 Per Minute (Check conversion here)
FINAL ANSWER
147 1 Per Minute <-- Rate of Cooling
(Calculation completed in 00.020 seconds)

Credits

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

Rate of cooling of engine Formula

Rate of Cooling = Rate of Cooling Constant*(Engine Temperature-Engine surrounding Temperature)
Rc = k*(T-Ta)

What affects the rate of cooling?

Newton's law of cooling explains the rate of cooling of a body. The rate at which an object cools down is directly proportional to the temperature difference between the object and its surroundings. The more heat is required to change the temperature of the substance, the slower it cools and vice versa

How to Calculate Rate of cooling of engine?

Rate of cooling of engine calculator uses Rate of Cooling = Rate of Cooling Constant*(Engine Temperature-Engine surrounding Temperature) to calculate the Rate of Cooling, The Rate of cooling of engine formula is defined as the rate at which the engine cools due to the surroundings at any given instant by obeying the Newton's law of cooling. Rate of Cooling is denoted by Rc symbol.

How to calculate Rate of cooling of engine using this online calculator? To use this online calculator for Rate of cooling of engine, enter Rate of Cooling Constant (k), Engine Temperature (T) & Engine surrounding Temperature (Ta) and hit the calculate button. Here is how the Rate of cooling of engine calculation can be explained with given input values -> 8820 = 0.035*(360-290).

FAQ

What is Rate of cooling of engine?
The Rate of cooling of engine formula is defined as the rate at which the engine cools due to the surroundings at any given instant by obeying the Newton's law of cooling and is represented as Rc = k*(T-Ta) or Rate of Cooling = Rate of Cooling Constant*(Engine Temperature-Engine surrounding Temperature). Rate of Cooling Constant states that the rate of heat exchange between an object and its surroundings is proportional to the difference in temperature between the object and the surroundings, Engine Temperature is defined as the temperature of the engine during its operation at any instant & Engine surrounding Temperature is the temperature of the surroundings of engine at any given instant.
How to calculate Rate of cooling of engine?
The Rate of cooling of engine formula is defined as the rate at which the engine cools due to the surroundings at any given instant by obeying the Newton's law of cooling is calculated using Rate of Cooling = Rate of Cooling Constant*(Engine Temperature-Engine surrounding Temperature). To calculate Rate of cooling of engine, you need Rate of Cooling Constant (k), Engine Temperature (T) & Engine surrounding Temperature (Ta). With our tool, you need to enter the respective value for Rate of Cooling Constant, Engine Temperature & Engine surrounding Temperature 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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