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Rate of cooling of engine Calculator

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Important Formulas of Engine Dynamics Characteristics and Operational Metrics Power and Efficiency

✖Constant for Cooling Rate 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.ⓘ Constant for Cooling Rate [k]			+10% -10%
✖Engine Temperature is defined as the temperature of the engine during its operation at any instant.ⓘ Engine Temperature [T]			+10% -10%
✖Engine Surrounding Temperature is the temperature of the surroundings of engine at any given instant.ⓘ Engine Surrounding Temperature [T_a]			+10% -10%

✖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 of engine [R_c]

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Formula

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Rate of cooling of engine

Formula

R c = k \cdot (T - T a)

Example

147 /min = 0.035 \cdot (360 K - 290 K)

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Rate of cooling of engine Solution

STEP 0: Pre-Calculation Summary

Formula Used

Rate of Cooling = Constant for Cooling Rate*(Engine Temperature-Engine Surrounding Temperature)
R_c = k*(T-T_a)
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.
Constant for Cooling Rate - Constant for Cooling Rate 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

Constant for Cooling Rate: 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

R_c = k*(T-T_a) --> 0.035*(360-290)

Evaluating ... ...

R_c = 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 00.004 seconds)

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Created by Syed Adnan

Ramaiah University of Applied Sciences (RUAS), bangalore

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< 5 Important Formulas of Engine Dynamics Calculators

Brake Power given Mean Effective Pressure

Go Brake Power = (Brake Mean Effective Pressure*Stroke Length*Area of Cross Section*(Engine Speed))

Beale Number

Go Beale Number = Engine Power/(Average Gas Pressure*Piston Swept Volume*Engine Frequency)

Brake Thermal Efficiency given Brake Power

Go Brake Thermal Efficiency = (Brake Power/(Mass of Fuel Supplied per Second*Calorific Value of Fuel))*100

Brake specific fuel consumption

Go Brake Specific Fuel Consumption = Fuel Consumption in IC engine/Brake Power

Brake Power given Mechanical Efficiency

Go Brake Power = (Mechanical Efficiency/100)*Indicated Power

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Inlet-Valve Mach Index

Go Mach Index = ((Cylinder Diameter/Inlet Valve Diameter)^2)*((Mean Piston Speed)/(Flow Coefficient*Sonic Velocity))

Beale Number

Go Beale Number = Engine Power/(Average Gas Pressure*Piston Swept Volume*Engine Frequency)

Swept Volume

Go Swept Volume = (((pi/4)*Inner Diameter of Cylinder^2)*Stroke Length)

Mean piston speed

Go Mean Piston Speed = 2*Stroke Length*Engine Speed

Friction Power

Go Friction Power = Indicated Power-Brake Power

Rate of cooling of engine Formula

Rate of Cooling = Constant for Cooling Rate*(Engine Temperature-Engine Surrounding Temperature)
R_c = k*(T-T_a)

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 = Constant for Cooling Rate*(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 R_c 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 Constant for Cooling Rate (k), Engine Temperature (T) & Engine Surrounding Temperature (T_a) 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 R_c = k*(T-T_a) or Rate of Cooling = Constant for Cooling Rate*(Engine Temperature-Engine Surrounding Temperature). Constant for Cooling Rate 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 = Constant for Cooling Rate*(Engine Temperature-Engine Surrounding Temperature). To calculate Rate of cooling of engine, you need Constant for Cooling Rate (k), Engine Temperature (T) & Engine Surrounding Temperature (T_a). With our tool, you need to enter the respective value for Constant for Cooling Rate, 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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