Dimensional analysis pdf nptel

If however, the non uniformity of the actual flow is not too great, valuable results may often be obtained from a one dimensional analysis. Using dimensional analysis, determine the forms of the following dimen sionless groups. Introduction to airplane performance video course course outline. At least 6 degrees of freedom for each leg 2 for the ankle 1 for the knee 3 for the hip. Smart material, adaptive structures and intelligent mechanical systems iitk. Fluid mechanics by nptel download book free book centre. Lecture 9 three dimensional flow analysis in axial flow compressor. The units used to measure a quantity are arbitrary, and a. Lecture series on performance of marine vehicles at sea by prof. Dimensional analysis, also known as factorlabel method or unitfactor method, is a method used to convert one unit to a different unit. Practice these problems for better understanding of this topic. Mod01 lec48 principles of similarity and dimensional.

This page contains dimensional analysis worksheet for class 11 along with downloadable pdf. Nptel video course aerospace engineering jet aircraft propulsion. Analysis of three dimensional horizontal reinforced concrete curved beam using ansys. Download fluid mechanics by nptel download free online book chm pdf. Pdf analysis of three dimensional horizontal reinforced. Fluid mechanics nptel online videos, courses iit video. Kumaran, department of chemical engineering, iisc bangalore.

Mod01 lec48 principles of similarity and dimensional analysis. Nptel video lectures, iit video lectures online, nptel youtube. Nptel, an elearning initiative by the 7 indian institutes of technology and the indian institute of science with the support of the mhrd, govt. The physical basis of dimensional analysis pdf similarity pdf the buckingham pi theorem in dimensional analysis pdf assignment problem set 7. Pdf dimensional analysis and its applications in statistics. Dimensional analysis da is a welldeveloped widelyemployed methodology in the physical and engineering sciences. Fluid statics, kinematics of fluid, conservation equations and analysis of finite control volume, equations of motion and mechanical energy, principles of physical similarity and dimensional analysis, flow of ideal fluids viscous incompressible flows, laminar boundary layers, turbulent flow, applications of viscous flows.

If a phenomenon depends upon n dimensional variables, dimensional analysis will reduce the problem to only k dimensionless variables, where the reduction n k 1, 2, 3, or 4, depending upon the problem complexity. Advanced fluid mechanics mechanical engineering mit. Topics include mass conservation, momentum, and energy equations for continua. Chakraborty,department of mechanical engineering,iit kharagpur. Since inspectional analysis can take advantage of the problems full mathematical specification, it may reveal a higher degree of similarity than a blind less informed dimensional analysis and in that sense prove more powerful.