Recent content by davcrai

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    Kernal density estimate in polar coordinates.

    Hi, I have a data set containing values for power and direction. I would like to produce a probability density estimate. The data can have multiple sources so I want to use a nonparametric method. I work in python which has a method for kernal density estimation (KDE), which I think should be...
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    Thermodynamics - Work done per unit mass

    Hmmm, might it include density and a gas constant by any chance... Thanks
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    Thermodynamics - Work done per unit mass

    ok, so I think for the second one you hold p constant at 1000hPa for the integration then evaluate between s1 and s2? Still unsure about the third one?
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    Fluids Book: Find Upper Level Undergrad Resource

    Thanks for the suggestions, settled on intro. to theoretical and computational fluid dynamics by Pozrikidis and some online notes from the MIT open courseware stuff. cjsgrailknight... fluids is a bit dry (I like the pun) to start with but it gets more interesting when applied to environmental...
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    Thermodynamics - Work done per unit mass

    Homework Statement A sample of dry air has initial pressure p1 = 1000 hPa and temperature T1 = 300k. It undergoes a process that takes it to a new pressure p2 = 500 hPa with unchanged temperature T2 = T1. Compute the mechanical work per unit mass performed by the sample under the following...
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    Fluids Book: Find Upper Level Undergrad Resource

    Hi, I'm taking an upper level ungergrad fluids class and am struggling with it, does anyone know a good book or other resource to help get a better understanding of the subject (one with lots of examples and problems preferably). Needs to cover topics like dimensional analysis, Stokes flow...
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    Fluids - boundary conditions for rotating sphere

    Homework Statement A sphere under uniform rotation R, in a simple shear flow, given at infinity by ui = G(x2 + c)deltai1 The centre of sphere is fixed at x2 Boundary conditions are ui = EijkRjxk on sphere, and ui = G(x2 + c) at...
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    Uniqueness of Stokes Flow: Investigating Strain and Stress Tensors

    Homework Statement Going through a proof of uniqueness for stokes flow for a fluids class I'm taking. Part of it involves replacing the strain tensor (e) with the stress tensor (a), ie going from (2u)*int(eij*eij)dV to int(eij*aij)dV Homework Equations...
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    Writing w^2 in Index Notation for Derivation with del X u

    Homework Statement I need to write w^2 in suffix notation for a derivation I am doing, where w = del X u Homework Equations (del X u) = w The Attempt at a Solution I think it is Eijk(d^2uk/dxj) where d is the partial derivative, E is the epsilon operator and ijk are suffix's...
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    Integral with suffix notation and the Divergence Theorem?

    Homework Statement Trying to figure out the following integral was done... intv(ui(partial)d(sigmaij)/(partial)dxj)dvHomework Equations Divergence theorem intv(del.F)dv = ints(F.n)ds The Attempt at a Solution I have the correct ans from one of my lectures, ints(uinjsigmaij)ds -...
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