Question

Hinge 3 m A Atmospheric Pressure Stop 30 6 m Water QUESTION 2 Use dimensional analysis to derive an tube. (15 marks) expression for the height of capillary rise in a glass QUESTION 3 Flow occurs over the spillway of constant section as shown in figure below. Given that y 4.6 m and y 0.9 m, determine the resultant horizontal force on the spillway given the spillway width is 2 m (perpendicular to the spillway section). Assume ideal flow i.e. head loss is zero. (20marks) E

Answer 1

On Height of Copillanity tuncton of the tube diometen (D) iquid Speciic weight ) Surface tention () Ah is a and Ah- f (Div,) Dimensional porometer's inulved Ah, DY K= 4 Now primory dimensions are to be Chosen both the systems ie M,L,T and F, LIT In MiL,T System ah-L -2 Y= MT MT Ya 3 Reference dimension M,LT terms K-r = 4-3 = No'of TT In F,L,T System Ah-L Y- FL3

Refernce dinmen sion r-2 No Tter ms = 4-2 = 2 Maximum termnequired First T-term ,b Ah L) (MLTL M°L°T Equating and T the exponents of M,L a-26 o bo - 2b+ o = o Ab -1 Selond - term (L) (M MT) = M°L°T» the exponents of M,L, T Equating d=- M d+ o C -2 L: c-2d = O T -2d-2 - 0 (- = P Y

Funt onal Relationship DY (A CS Scannedw Camcanner