Air Bag Inflation Rate: Calculating Time & Stress

AI Thread Summary
To calculate the inflation time of an exhaust-powered vehicle car jack air bag, convert mass flow rate into volume flow rate. Consider the structural integrity of the air bag, focusing on the weakest points like seams and walls, using mechanics of materials equations for a pressurized cylinder. Additionally, apply principles of mechanics to assess the stresses the air bag must withstand under the vehicle's load. It's essential to integrate these calculations to ensure both effective inflation and safety under pressure. Proper design will require a thorough understanding of fluid dynamics and material strength.
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I am designing an exhaust powered vehicle car jack air bag. I have calculated the mass flow rate and velocity of the exhaust gases leaving the vehicles exhaust pipe. I need to calculate the amount of time it will take to inflate an air bag of a particular size. What equations do I need to be using in order to calcualte the rate of inflation? Also I need to calcuate the stresses the air bag will have to withstand in order to lift the vehicle. I have taken fluid mechanics but I am having trouble figuring out which equations to use.

Thanks for the help...
 
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turn mass flow into volume flow, i would think. if its a cylindar, then you need to consider the walls of the inflated material as the weakest point (or the seams, or the intake). there should be some mechanics of materials equations for a pressureized cylinlar, then superpose a force on the cylindar from the car load at a sidewall position (say r=R or x=r,y=0.z=0.5h or something). then you need to do all the principle stuff with the design
 
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