Back Pressure when Exhaust Valve Opens Solution

STEP 0: Pre-Calculation Summary
Formula Used
Back Pressure on Engine Valve = (4*Gas Load on Exhaust Valve)/(pi*Diameter of Valve Head^2)
Pback = (4*Pg)/(pi*dv^2)
This formula uses 1 Constants, 3 Variables
Constants Used
pi - Archimedes' constant Value Taken As 3.14159265358979323846264338327950288
Variables Used
Back Pressure on Engine Valve - (Measured in Pascal) - Back Pressure on Engine Valve is the pressure exerted onto the valve when it opens.
Gas Load on Exhaust Valve - (Measured in Newton) - Gas Load on Exhaust Valve is the amount of force acting on the inner side of the exhaust valve due to the back pressure or cylinder pressure when the exhaust valve opens.
Diameter of Valve Head - (Measured in Meter) - Diameter of Valve Head is the diameter of the top part of valve of an IC engine, valve intakes and exhausts gases to and from an engine.
STEP 1: Convert Input(s) to Base Unit
Gas Load on Exhaust Valve: 1680 Newton --> 1680 Newton No Conversion Required
Diameter of Valve Head: 50 Millimeter --> 0.05 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Pback = (4*Pg)/(pi*dv^2) --> (4*1680)/(pi*0.05^2)
Evaluating ... ...
Pback = 855616.974062029
STEP 3: Convert Result to Output's Unit
855616.974062029 Pascal -->0.855616974062029 Megapascal (Check conversion here)
FINAL ANSWER
0.855616974062029 0.855617 Megapascal <-- Back Pressure on Engine Valve
(Calculation completed in 00.004 seconds)

Credits

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Shri Govindram Seksaria Institute of Technology and Science (SGSITS ), Indore
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16 Force on Rocker Arm of Valves Calculators

Total Force on Rocker Arm of Exhaust Valve given Suction Pressure
Go Total Force on Rocker Arm of Exhaust Valve = (pi*Back Pressure on Engine Valve*Diameter of Valve Head^2)/4+Mass of Valve*Acceleration of Valve+(pi*Maximum Suction Pressure*Diameter of Valve Head^2)/4
Total Force on Rocker Arm of Inlet Valve given Suction Pressure
Go Total Force on Rocker Arm of Inlet Valve = Mass of Valve*Acceleration of Valve+(pi*Maximum Suction Pressure*Diameter of Valve Head^2)/4
Total Force on Rocker Arm of Exhaust Valve given Bending Moment near Boss of Rocker Arm
Go Total Force on Rocker Arm of Exhaust Valve = Bending Moment in Rocker Arm/(Length of Rocker Arm on Exhaust Valve Side-Diameter of Fulcrum Pin)
Downward Inertia Force on Exhaust Valve given Total Force on Rocker Arm of Exhaust Valve
Go Inertia Force on Valve = Total Force on Rocker Arm of Exhaust Valve-(Spring Force on Rocker Arm Valve+Gas Load on Exhaust Valve)
Initial Spring Force on Exhaust Valve given Total Force on Rocker Arm of Exhaust Valve
Go Spring Force on Rocker Arm Valve = Total Force on Rocker Arm of Exhaust Valve-(Inertia Force on Valve+Gas Load on Exhaust Valve)
Gas Load on Exhaust Valve given Total Force on Rocker Arm of Exhaust Valve
Go Gas Load on Exhaust Valve = Total Force on Rocker Arm of Exhaust Valve-(Inertia Force on Valve+Spring Force on Rocker Arm Valve)
Total Force on Rocker Arm of Exhaust Valve
Go Total Force on Rocker Arm of Exhaust Valve = Gas Load on Exhaust Valve+Inertia Force on Valve+Spring Force on Rocker Arm Valve
Maximum Suction Pressure on Exhaust Valve
Go Maximum Suction Pressure = (4*Spring Force on Rocker Arm Valve)/(pi*Diameter of Valve Head^2)
Back Pressure when Exhaust Valve Opens
Go Back Pressure on Engine Valve = (4*Gas Load on Exhaust Valve)/(pi*Diameter of Valve Head^2)
Initial Spring Force on Exhaust Valve
Go Spring Force on Rocker Arm Valve = (pi*Maximum Suction Pressure*Diameter of Valve Head^2)/4
Gas Load on Exhaust Valve when it Opens
Go Gas Load on Exhaust Valve = (pi*Back Pressure on Engine Valve*Diameter of Valve Head^2)/4
Downward Inertia Force on Valve given Total Force on Rocker Arm of Inlet Valve
Go Inertia Force on Valve = Total Force on Rocker Arm of Inlet Valve-Spring Force on Rocker Arm Valve
Initial Spring Force on Valve given Total Force on Rocker Arm of Inlet Valve
Go Spring Force on Rocker Arm Valve = Total Force on Rocker Arm of Inlet Valve-Inertia Force on Valve
Total Force on Rocker Arm of Inlet Valve
Go Total Force on Rocker Arm of Inlet Valve = Inertia Force on Valve+Spring Force on Rocker Arm Valve
Bending Stress in Rocker Arm near Boss of Rocker Arm given Bending Moment
Go Bending Stress in Rocker Arm = Bending Moment in Rocker Arm/(37*Thickness of Rocker Arm Web^3)
Downward Inertia Force on Exhaust Valve as it Moves Upwards
Go Inertia Force on Valve = Mass of Valve*Acceleration of Valve

Back Pressure when Exhaust Valve Opens Formula

Back Pressure on Engine Valve = (4*Gas Load on Exhaust Valve)/(pi*Diameter of Valve Head^2)
Pback = (4*Pg)/(pi*dv^2)

Valve gear mechanism for a vertical engine with overhead valves

The camshaft is rotated by means of a belt drive from the crankshaft. As the camshaft rotates, the cam pushes the follower and the push rod upwards. The rocker arm is pivoted at its center by means of a fulcrum pin. When the right end of the rocker arm is pushed up by the push rod, the left end moves downward. This compresses the spring and pushes the valve rod down in the cylinder, thereby causing the valve to open. When the follower moves over the circular portion of the cam, the spring expands and closes the valve. The spring pushes the left end of the rocker arm upward. This causes the right end to move downward and keeps the follower in contact with the cam. It should be noted that the valve is closed by a helical compression spring.

How to Calculate Back Pressure when Exhaust Valve Opens?

Back Pressure when Exhaust Valve Opens calculator uses Back Pressure on Engine Valve = (4*Gas Load on Exhaust Valve)/(pi*Diameter of Valve Head^2) to calculate the Back Pressure on Engine Valve, Back pressure when exhaust valve opens is the pressure exerted onto the exhaust valve at the inner portion when it opens. Back Pressure on Engine Valve is denoted by Pback symbol.

How to calculate Back Pressure when Exhaust Valve Opens using this online calculator? To use this online calculator for Back Pressure when Exhaust Valve Opens, enter Gas Load on Exhaust Valve (Pg) & Diameter of Valve Head (dv) and hit the calculate button. Here is how the Back Pressure when Exhaust Valve Opens calculation can be explained with given input values -> 8.6E-7 = (4*1680)/(pi*0.05^2).

FAQ

What is Back Pressure when Exhaust Valve Opens?
Back pressure when exhaust valve opens is the pressure exerted onto the exhaust valve at the inner portion when it opens and is represented as Pback = (4*Pg)/(pi*dv^2) or Back Pressure on Engine Valve = (4*Gas Load on Exhaust Valve)/(pi*Diameter of Valve Head^2). Gas Load on Exhaust Valve is the amount of force acting on the inner side of the exhaust valve due to the back pressure or cylinder pressure when the exhaust valve opens & Diameter of Valve Head is the diameter of the top part of valve of an IC engine, valve intakes and exhausts gases to and from an engine.
How to calculate Back Pressure when Exhaust Valve Opens?
Back pressure when exhaust valve opens is the pressure exerted onto the exhaust valve at the inner portion when it opens is calculated using Back Pressure on Engine Valve = (4*Gas Load on Exhaust Valve)/(pi*Diameter of Valve Head^2). To calculate Back Pressure when Exhaust Valve Opens, you need Gas Load on Exhaust Valve (Pg) & Diameter of Valve Head (dv). With our tool, you need to enter the respective value for Gas Load on Exhaust Valve & Diameter of Valve Head 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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