Inglis equation

In problems of forced convection, it is usually the cooling mass flow that has to be found to determine the temperature difference between the cooling substance and the wall for a given heat flow. In turbulent pipe flow, the iol-low ing equation is valid ... 

A in cm ) For continuum flow (viscous flow) the follow/ing equations (after Prandtl) apply to air at 20 °C where pj/p = 5 ... 

It is a fortunate coincidence that the product M n Z also appears in the Lu-Lewis equation (equation 6.4). It can be used to assess the effective Z value from the follo A/ing equations ... 

The explosion of gaseous methyl nitrate subjected to the influence of an electric spark at 25°C was investigated by Zeldovich and Shaoulov [4] who found that it differs from an explosion initiated by heat. According to these authors, the fo low-ing equations express the decomposition reaction caused by an electric spark ... 

The balance sheet changes with every transaction based on the accoxmt-ing equation ... 

While this chemical difference is very slight, it immensely simplified the problem of manufacture, since all that is required is to mix together and heat diplnuiylamino and arsenic tricliloride and a smooth reaction proceeds in ac< ord ance with the follow ing equation (see Chart XIV) ... 

The luminous intensity of light used in above equation is the illumination on the unit surface which is placed at a right angle to the direction of the emitter at a distance of 1 meter. To obtain the value, measure the illumination at some distance from the emitter using a photometer (the photoelectric cell type or photocell type is popular), and calculated from the follov/ing equation ... 

For common multiply charged ions, a, may become as large as 11 A. But at ionic strengths less than 0.01, the second term of the denominator becomes small with respect to 1, so uncertainties in a, become relatively unimportant, and Equation 6.20 can be applied at ionic strengths of 0.01 or less. Equation 6.19 can be applied up to ionic strengths of about 0.2. Ref. 9 at the end of the chapter lists values for a, for different ions and also includes a table of calculated activity coefficients, us ing Equation 6.19, at ionic strengths ranging from 0.0005 to 0.1. The CD for Chapter 6 contains a list of ion size parameters for some common ions taken from this reference. 

According to Drechsel the formation of the phenol ester of sulphuric acid is probably represented by the follow ing equations ... 

Inglis, C.E. (1913) Stresses in a plate due to the presence of cracks and sharp corners, Trans. Inst. Naval Archit. A127, 219. The Inglis equation (Eq. 18.13). 

Rearrai ing Equation (10.21) to solve for modulus of elasticity E we have where... 

A matrix is a rectangular array of elements arranged in an orderly fashion with rows and columns. Each element is distinct and separate. The element of a matrix is denoted as a y, with the index i to represent the ith row and the index i to represent the jth column. The size of a niatrix is denoted as N xM, where N is the number of rows and Af is the number of columns. We usually represent a matrix with a boldface capital letter, for example A and the corresponding lowercase letter is used to represent its elements, for example, a,y. The foUow-ing equation shows the definition of a matrix A having N rows and M columns. 

Apparently, silicon is consumed to form silicon dioxide in both dry and wet oxidation processes. The thickness of the silicon consumed is around 0.44 of the total oxide thickness. This value can be simply calculated using the foUow-ing equation ... 

Inglis Equation. Relates the stress at the tip of an elliptical flaw in glass to the applied stress, the flaw length and the radius of curvature of the crack tip. 

Detailed balancing. Equations (19.8), gives additional information. It says that the mechanism shown in Figure 19.1(b) is impossible. Multiply ing Equations (19.8) gives... 

Predict the outcome of the reactions represented by the follow ing equations by using the activity series, and balance the equations. 

In the following sections, in addition to giving the work ing equations for determining these material functions, we discuss corrections, applicability, and limitations for each of the methods depicted in Figure 7.1.2. Further information on extensional rheometry can be found in the references at the end of this chapter. Reviews by Meissner (1985,1987), a monograph by Petrie (1979), and Dealy s book (1982) are also recommend. ... 

Thiols are easily oxidized, but oxidation occurs at the sulfur atom rather than the carbon atom. Mild oxidation agents such as bromine and iodine convert thiols into disulfides. In the foUow-ing equation, the symbol [O] represents an unspecified oxidizing agent that removes hydrogen atoms. 

Ya on and co-workers measured comparative chloromethylation rates for a number of aromatics b following the reaction of these compounds with monochloromethyl ether in glacial acetic acid. This reaction is shown in the follow ing equation, in which RH stands for an aromatic hydrO carbon ... 

Fonnaldehyde and methone react quant itatively in neutral, alkaline, or iiiiidl acidic aqueous or alcoholic solution. to form methylene bis-methone, as indicated in the follov ing equation ... 

The formation of hexamethyienetetrainine from aqueous formaldehyde and ammonia gas is indicated by the folio ing equation, forAvhiieh the heat cf reaction has been calculated from the accepted thermochemical mlues ... 

Reactions with Organic Compounds. Eeactio7i with Alcohols Alcoholysis). Hexameth lenetetranune does not react with alcohols under neutral or alkaline conditions. HoweA er. in the presence of acids it leacts as an ammono-fomialdehyde to giA e formals and ammonium salts as indicated in the foUoT ing equation, in which ROH represents an aliphatic alcohoP ... 

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