wzelik

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14 years, 8 days

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Hi,

I enclose,

wzel

 

HT_one_layer.mw

Thank you very much for your help.

 

wzel 

Hi again,

I forgot explain of paramters of hmax equation,

hmax – maximum cappilary rice,

sigma – surface tension,

theta – wetting angle,

r – cappilary radius,

rho – dencity of liquid,

alpha – slope of cappilary (0-90 deg)

g – of course, acceleration of gravity

 

wzel

Hi,

Thank you for prompt answer.

But, how to understand particular solution , when in cappilary rice, hmax (eq8) from equality eq6 and eq7 is positive, and we get expressions containing ln(-hmax) ???

wzel

@acer it's works, you are right!

...as always maple community can count for you.

 

wzel

@acer it's works, you are right!

...as always maple community can count for you.

 

wzel

@Acer

As I said, big thank you for given solution, but...

could you check once more, another problem with fsolve...

I enclose a file...

 

 

test1.mw

 

wzel

@Acer

As I said, big thank you for given solution, but...

could you check once more, another problem with fsolve...

I enclose a file...

 

 

test1.mw

 

wzel

Thank you,

 

wzel

Thank you,

 

wzel

Hi, 

 

I don't belive that Maple can't produced correct solution. Is there a chance to get any advice?

I would be appreciated,

 

wzel

 

Hi again,

What is wrong with solutions?

Why result is incorect comparing to the Mathcad?

wzel

 

restart

Data's: (rho+[-kg/m^3], Do+[-m], L+[-m], eta+[-Pa*s], g+[-m/s^2], h+[-m])

rho := 8740:``

Reynolds number:

RE := proc (V) options operator, arrow; Do*V*rho/eta end proc:

Darcy friction factor:

lambda := proc (RE) options operator, arrow; piecewise(4400 < RE, .3164/(V*Do*rho/eta)^.25, 64/RE) end proc;

proc (RE) options operator, arrow; piecewise(4400 < RE, .3164/(V*Do*rho/eta)^.25, 64/RE) end proc

(1)

Darcy-Weisbach equation

eq := rho*g*h = (1/2)*lambda(RE(V))*L*V^2/Do

300087.900 = 12.50000000*piecewise(4400 < 104880.0000*V, 0.1758179877e-1/V^.25, 0.6102212052e-3/V)*V^2

(2)

Velocity [m*s^(-1)]

Vo := fsolve(eq, V = 1)

3205.320961

(3)

``

 

 

Mathcad solution below

 

Download Vo_DW_ew_1.mw

 

 

 

Hi,

ad1. Please see enclosed,

ad2. ...Indeed, it is liquid metal..

ad3. Why?, For Mathcad is not a problem. Maple in units area is even stronger, but of course less comfortable.
I'm couriuos if it possible to solved Darcy-Weisbach equation in Maple in the same (or similar) way.

 

Are you mean m and cm?, and:

>>>Don't mix m and sm

it's typping error... :-)

 

wzel

Vo_DW_eq.mw

Thank you Jarekkk!

 

wzel

Thank you Jarekkk!

 

wzel

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