please help me understand bulk modulus formula

[PaulKraemer]

Hi,

I have not taken a math course since college (25 years ago) and I am not an engineer, but I am trying to force my way through the book Fluid Mechanics Demystified because I think it will help me with my job. I have been able to understand most of the formulas in this book so far, but I just came across one for which I am stumped. I have attached a screen shot of a formula (for bulk modulus B) that has a vertical line on its right with the letter T (which I believe stands for temperature) at the lower right side of the vertical line.

I was wondering if anyone here can tell me what mathematical function this type of notation represents so that I can try to educate myself?

thanks in advance,
Paul

 

[Ishuda]

Hi,

I have not taken a math course since college (25 years ago) and I am not an engineer, but I am trying to force my way through the book Fluid Mechanics Demystified because I think it will help me with my job. I have been able to understand most of the formulas in this book so far, but I just came across one for which I am stumped. I have attached a screen shot of a formula (for bulk modulus B) that has a vertical line on its right with the letter T (which I believe stands for temperature) at the lower right side of the vertical line.

I was wondering if anyone here can tell me what mathematical function this type of notation represents so that I can try to educate myself?

thanks in advance,
Paul

Although I haven't looked it up, it seems to me that the sub-T just means at standard temperature, in fact possibly standard temperature and pressure [edit to add - if just a single number is given]. I don't see anything with a moderately quick look at the book (available as a free PDF) and that is just a guess.

 

[Deleted member 4993]

Hi,

I have not taken a math course since college (25 years ago) and I am not an engineer, but I am trying to force my way through the book Fluid Mechanics Demystified because I think it will help me with my job. I have been able to understand most of the formulas in this book so far, but I just came across one for which I am stumped. I have attached a screen shot of a formula (for bulk modulus B) that has a vertical line on its right with the letter T (which I believe stands for temperature) at the lower right side of the vertical line.

I was wondering if anyone here can tell me what mathematical function this type of notation represents so that I can try to educate myself?

thanks in advance,
Paul

That equation is calculating the fraction change in volume for IDEAL gas due to unit change in pressure, under isothermal condition ( constant temperature).

That is a standard thermodynamic equation.