We are thus asked to find P1. Solution Solving Bernoulli’s principle for P1 yields P1=P2+12ρv22−12ρv12=P2+12ρ(v22−v12)P1=P2+12ρv22−12ρv12=P2+12ρ(v22−v12) Substituting known values, P1=71.01×105 N/m2+12(103 kg/m3)[(25.5 m/s)2−(1.96 m/s)2]=4.24...
This method Utilizes the power of perfect squares: With the Unknown on the LHS it is posible to find its value Simply by taking the squareroot. ax^2+bx+c = 0 \Longrightarrow a\left(x+d\right)^2 + e = 0 where e, d are constants \implies x=\sqrt{-\frac{e}{a}}-d Solving...
You might find these chapters and articles relevant to this topic. Review article Equilibrium vapor pressure properties for absorbent and adsorbent materials 2.4.3.9 Flory-Huggins The Flory-Huggins equation obtained by Flory (Flory, 1942) and Huggins (Huggins, 1941) is for the thermodynamics of poly...
You might find these chapters and articles relevant to this topic. Chapter Maxwell's equation and EM waves 2.2.1 Maxwell's Equations Maxwell's equations are the set of equations which define the temporal and spatial characteristics of electric and magnetic field and the interrelations of their var...
To find it, one can first choose any tensor \(k^{\mu \nu }\) (satisfying (33)) such that \(k^{\mu \nu }k_{\mu \nu }=0\) and \(u^{\mu \nu }k_{\mu \nu }\ne 0\). Let us prove it. First, let us consider an antisymmetric second-rank tensor \(a^{\mu \nu }...
vout=Q/A= 75 [m3/h] * 3600 [s/h] / 0.0113 [m2] =1.84 m/s Velocity head: Velocity head= vout2/(2g) = 1.842/ 2*9.81 =0.173 m In order to find the frictional head loss, we have to use extended Bernoulli’s equation:
Since the basis is linearly independent, the S matrix is non-singular, we can find a unitary transform, to reduce the problem into normal eigenvalue one. U†SU=s,U†=U−1 Let V=Us−1/2 (Must note V is not unitary!!) we have: V†SV=s−1/2U†SUs−1/2=s−1/...
I would like to know how to find the equation of a quadratic function from its graph, including when it does not cut the x-axis. Thanks. Modeling This is a good question because it goes to the heart of a lot of "real" math. Often we have a set of data points from observat...
Label each compound (reactant or product) in the equation with a variable to represent the unknown coefficients. aCaSO4(H2O)2=bCaO +cSO3+dH2O Step 2: Create a System of Equations Create an equation for each element (Ca, S, O, H) where each term represents the number of atoms of...
You might find these chapters and articles relevant to this topic. Review article A review on experience feedback and numerical modeling of packed-bed thermal energy storage systems 4.4.1 The Ergun equation The Ergun equation (Ergun, 1952) is a reference for calculation of pressure losses through...