Recent content by renlok

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    MHB Motion of an Element: Understand Rheology Notes

    I'm working through my rheology notes and there is a fairly basic part that I don't understand at all. If you have two neighbouring points in a liquid P(x,y,z) and $$Q(x + \Delta{x}, y + \Delta{y}, z + \Delta{z})$$ now if the velocity components of P are given as (u, v, w) then $$u_Q = u_P +...
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    Spherical coordinates vector question

    I've no idea where to put this question but here it is I am trying to work through the examples our lecture has given in class and I wasn't getting them at all the first thing that confused me was \nabla . \underline{r} = 3 I tried this myself with \nabla . \underline{r} =...
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    Local and convected rates of change

    Homework Statement This is less of a help me answer something question more a help me understand this question. I was reading though my hydrodynamics notes and there was a derivation that ended up with the follow equation \frac{D\psi}{Dt} = \frac{\partial\psi}{\partial{t}} +...
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    How to calculate the heat added during an isothermal process

    Homework Statement The titleHomework Equations ?The Attempt at a Solution The only ways I know of to calculate heat are dQ = Cp.dT and dQ = Cv.dT for isochoric and isobaric process how would you go about doing it for an isothermal process Also if a system isn't a cycle but it ends up in the...
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    Finding dx & dy: Solving Math Homework Problem

    not in respect to something i don't need to find a gradient, i need to find the infintesimal change in x or y in terms of v & u. I've found for finding \delta{y} if you can treat v & u as functions of x you can just use the product rule and divide though by \delta{x} to leave you with \delta{y}...
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    Finding dx & dy: Solving Math Homework Problem

    Homework Statement x = (1/2)(u^2 - v^2), y = uv find \delta{x} and \delta{y} Homework Equations - The Attempt at a Solution I think its simple enough but I don't know what sort of method to use to answer this. Any help would be really awesome :)
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    Solving an ODE Related to Relativistic Mass Change

    Homework Statement \frac{dp}{dt} = \frac{d}{dt}\frac{mv}{\sqrt{1-\frac{v^2}{c^2}}} = F Find v(t) show that v -> c as t -> infinity & find the distance traveled in time t if the object starts from rest. Homework Equations The Attempt at a Solution Ive tried rearranging it into either a...
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    Changes in Density of Water Vapor Under Constant Volume and Temperature

    Homework Statement water vapor is heated from 403.15k to 463.15k and is kept at a constant volume of 3m^2 its initial pressure is 10^5pa what is the density change? Homework Equations PV = nRT, D = M/V The Attempt at a Solution I don't really know where to go with this i found the...
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    Merging two chambers of identicle gas

    oh i was trying to find the wrong thing ^^ oh its easy then thankyou
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    Merging two chambers of identicle gas

    n is the number of moles in the camber for x: n = \frac{P_xV_x}{RT_x} for y: n = \frac{P_yV_y}{RT_y} for the new camber (merged): n = \frac{P_yV_y}{RT_y} + \frac{P_xV_x}{RT_x} so T_f = \frac{P_f(V_x + V_y)}{(\frac{P_yV_y}{RT_y} + \frac{P_xV_x}{RT_x})R} but then i still can't get Tf as...
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    Merging two chambers of identicle gas

    Homework Statement Two samples of the same ideal gas, x and y, are in adjacent chambers, separated by a thermally insulating partition. The initial volumes, pressures and temperatures of the samples are, Vx, Vy, px, py and Tx, Ty. The partition is removed and the single chamber is brought to a...
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