The hobby of one of your popular lecturers is mountain climbing. Of course, in this case, there is always the possibility of this lecturer falling into a crack in the mountain glacier. If this accident happened today and the lecturer was caught in a slowly moving glacier, you would wonder when your teacher will reach the lower end of the glacier and whether he will be able to catch up with the lectures/finals at the end of this academic term. Assuming that ice is a Newtonian fluid, and considering that it is approximately the density of glycerin but a million times more viscous, you decide to build a model and experiment using glycerin. Therefore, with the help of dimensional analysis and similarity, you will be able to predict when the lecturer will return from the glacier. Consider that the actual glacier is at a depth of 15 m and on a mountain slope that loses a height of 1.5 m at 1850 m horizontally. Construct the terms (function) dimensionless parameters to include dynamic similarity in this problem. If the lecturer appears in the lab after 9.6 hours in the model, how long will it take to get out of the glacier before you can go and help him in real conditions?(SG ice=0.92, SGglycerin=1.26) V = f (H,L,D,p,g,µ) FOLLOW THE STEPS BELOW FOR ANSWER 1.Step : Parameters: 2. Step : FL t are chosen. 3. Step Parameters Dimensions 4. Adım: selected repetitive parameters: (do not select viscosity and speed as repetitive parameters) 5. Adım: 6. Adım: 7. Adım: how many Pi parameters will you Finding the Pi parameters When will the lecturer appear? find? The hobby of one of your popular lecturers is mountain climbing. Of course, in this case, there is always thepossibility of this lecturer falling into a crack in the mountain glacier. If this accident happened today andthe lecturer was caught in a slowly moving glacier, you would wonder when your teacher will reach thelower end of the glacier and whether he will be able to catch up with the lectures/finals at the end of thisacademic term.Assuming that ice is a Newtonian fluid, and considering that it is approximately the density of glycerin but amillion times more viscous, you decide to build a model and experiment using glycerin. Therefore, with thehelp of dimensional analysis and similarity, you will be able to predict when the lecturer will return from theglacier. Consider that the actual glacier is at a depth of 15 m and on a mountain slope that loses a height of1.5 m at 1850 m horizontally. Construct the terms(function) dimensionless parameters to include dynamicsimilarity in this problem. If the lecturer appears in the labafter 9.6 hours in the model, how long will it take to getout of the glacier before you can go and help him in realconditions?(SG ice=0.92, SGglycerin=1.26)V = f (H,L,D,p,g,µ)FOLLOW THE STEPS BELOW FOR ANSWER1.Step :Parameters:2. Step :FL t are chosen.3. StepParametersDimensions4. Adım:selected repetitive parameters: (do not select viscosity and speed as repetitive parameters)5. Adım:6. Adım:7. Adım:how many Pi parameters will youFinding the Pi parametersWhen will the lecturer appear?find?

Given Specific gravity of ice = 0.92 Specific gravity of glycerin = 1.26 time of model = 9.6 hrs…

The hobby of one of your popular lecturers is mountain climbing. Of course, in this case, there is always the possibility of this lecturer falling into a crack in the mountain glacier. If this accident happened today and the lecturer was caught in a slowly moving glacier, you would wonder when your teacher will reach the lower end of the glacier and whether he will be able to catch up with the lectures/finals at the end of this academic term. Assuming that ice is a Newtonian fluid, and considering that it is approximately the density of glycerin but a million times more viscous, you decide to build a model and experiment using glycerin. Therefore, with the help of dimensional analysis and similarity, you will be able to predict when the lecturer will return from the glacier. Consider that the actual glacier is at a depth of 15 m and on a mountain slope that loses a height of 1.5 m at 1850 m horizontally. Construct the terms (function) dimensionless parameters to include dynamic similarity in this problem. If the lecturer appears in the lab after 9.6 hours in the model, how long will it take to get out of the glacier before you can go and help him in real conditions?(SG ice=0.92, SGglycerin=1.26) V = f (H,L,D,p,g,µ) FOLLOW THE STEPS BELOW FOR ANSWER 1.Step : Parameters: 2. Step : FL t are chosen. 3. Step Parameters Dimensions 4. Adım: selected repetitive parameters: (do not select viscosity and speed as repetitive parameters) 5. Adım: 6. Adım: 7. Adım: how many Pi parameters will you Finding the Pi parameters When will the lecturer appear? find?

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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The hobby of one of your popular lecturers is mountain climbing. Of course, in this case, there is always the possibility of this lecturer falling into a crack in the mountain glacier. If this accident happened today and the lecturer was caught in a slowly moving glacier, you would wonder when your teacher will reach the lower end of the glacier and whether he will be able to catch up with the lectures/finals at the end of this academic term. Assuming that ice is a Newtonian fluid, and considering that it is approximately the density of glycerin but a million times more viscous, you decide to build a model and experiment using glycerin. Therefore, with the help of dimensional analysis and similarity, you will be able to predict when the lecturer will return from the glacier. Consider that the actual glacier is at a depth of 15 m and on a mountain slope that loses a height of 1.5 m at 1850 m horizontally. Construct the terms (function) dimensionless parameters to include dynamic similarity in this problem. If the lecturer appears in the lab after 9.6 hours in the model, how long will it take to get out of the glacier before you can go and help him in real conditions?(SG ice=0.92, SGglycerin=1.26) V = f (H,L,D,p,g,µ) FOLLOW THE STEPS BELOW FOR ANSWER 1.Step : Parameters: 2. Step : FL t are chosen. 3. Step Parameters Dimensions 4. Adım: selected repetitive parameters: (do not select viscosity and speed as repetitive parameters) 5. Adım: 6. Adım: 7. Adım: how many Pi parameters will you Finding the Pi parameters When will the lecturer appear? find?

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