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what does the karman reduce to flat plate 

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Stationary and Moving bodies under influences of F 


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Branch of mechanics that deals with bodies at REST 


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Branch of mechanics that deal with bodies in motion 


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behavior of fluids in motion or at rest and their interaction with solids or other boundaries 


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Same as FM, but sets fluids at rest to V=0 


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Study of motion of fluids that can be approx as INCOMPRESSOBLE 


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Nusselt number = convection heat transfer/conduction heat transfer =hL/k 


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a fluid always deforms under shear stress 


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Stress and strain is proportional in solids, but in fluid, stress is proportional to strain rate 


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Pressure P in relation to stress 

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P is normal stress in fluid at rest 


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GAS vs LIQUID wict filling space 

Definition
gas fills entire available space, liquid forms free surface 


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Fluid sticks to solid surface  forms boundary layer due to viscocity 


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Viscous vs Inviscid regions of flow 

Definition
visc  flows in which friction effects are significant invisc  viscos forces are nigligibly small compared to inertial or pressure forces 


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Flow speed in form of Ma and incompressible approx 

Definition
Ma = V/c  approx inc if Ma < 0,3 this is because that usually approx less that 5% density change 


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Steady  no change at a point w/time 


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No change with location over specified region 


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quantity of matter or region in space chosen to study 


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The mass or region outside the system 


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real or imaginary surface that separates the system from the surrounding (either fixed or movable 


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fixed amount of mass, no mass accross boundary 


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Properly selected region in space 


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speed of sound for ideal gas 

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viscoucity def/forklaring 

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resistance to deformation 


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Deformation is proportional to shear stress 


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Viscocity in liquids vs gases IRT temp 

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visc down when temp up for liquids, up when temp up for gasses. 


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"a curve that is everywhere tangent to the instantanious local velocity vector" For steady, incomp 2d: u=(dY/dy) v=(dY/dx) 


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follow path of one particle over a time period 


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Insert several particles and take instantanious pic 


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Steady flow IRT stream, path and streakline 

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all the same when flow is steady 


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Rate of heat transfer for flat plate 

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curves of constant scalar properties 


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Inviscid region of flow (when to approx) 

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for steady incomp flow  (du/dx)+(dv/dy)+(dw/dz)=0 


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When can you use stream and potential function? 

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For incompressible, steady, irrotational 2d 


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What is friction force equal to on flat plate? 

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Same as Tw*A (because Tw=(Ft/A)) 


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h is equal to heat transfer coefficient 


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Tau  what is this equal to (in terms of differential)? 

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translation, rotation, linear strain shear strain 

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Why do we use nondim navier stokes? 

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to see relative effects of terms, and where one or more overpowers the other terms 


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what is the Modified reynolds analogy 

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It allows you to calculate heat transfer coeff from knowledge of friction. 


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what is residual in CFD context 

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it is a measure of how much our variables differ from the exact solutions. put all terms on one side, the difference from zero is residual. 


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starting point to get to a solutions. wrong in the beginning, but get more and more correct as we iterate. 


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numerical method of marching towards solution 


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solution converges to true value (not necessarilly) 


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volume flow rate through pipe 

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V'=integral(02pi)integral(0R)(u(r)*r)dr(d(theta) = 2pi*integral(0R)(u(r)*r)dr
flrste integralet blir 2pi, husk å gange med r på nste integral. 


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Hva må du huske når du tar med tyngdekraft i navier stokes? 

Definition
Tyngdekraften fungerer som en dP/dy altså navier stokes forkortes til dP/dy = rho*gy 


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Reynolds analogy limitations 

Definition
limted to flows of fluid with prantl near unity such as gases and negiligable pressure gradient in flow direction 


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Hva gjør du for å finne pressure field for u og v? 

Definition
1  sjekk for continuity 2 kort ned navier stokes  finn deretter dP/dx fra x momentun og deretter dP/dy fra y momentum. 3 sjekk for smooth function!! dP/(dxdy) skal være lik dP(dydx)  dersom dette ikke stemmer er det ikke smooth function, og vi kan ikke fortsette 


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boundary conditions for oil film wall 

Definition
dv/dx = 0 ved x lik h! gå tilbake til dv/dx og sett inn x lik h  løs for C1 


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hvordan kan du bevise at en fartsprofil bare er funsksjon av en variabel tidlig? 

Definition
Sett inn i continuity equation  så står du igjen med kun f.eks. du/dx=0  som sier at u bare er funksjon av x 


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Can wald interval be trusted? when? 

Definition
Helst høy n  en dersom distibusjonen er normal eller approx normal kan vi stole på den d også 

