Stokes Law derivation | Stoke's law of viscosity derived - Kisembo Academy

get to learn how to derive stokes law (stokes law derivation). thanks to all my patreons for your generous support via Kindly consider donating to help support the continued production of these videos by following this link https://dashboard.flutterwave.com/don... God Bless You Stoke's law of viscosity derived - Kisembo Academy in this video we derive stoke's law #stoke'sLaw #Fluid dynamics #stokesLawExperiment transcript; 0:00:00.030,0:00:04.830 right before us we are having a diagram this is the diagram this is this fear and this fear is in a jar or call it a 0:00:10.620,0:00:15.809 very long cylinder that is having some 0:00:13.110,0:00:19.170 thick fluid now when we drop this ball 0:00:15.809,0:00:23.010 down so that it starts flowing into this 0:00:19.170,0:00:27.630 liquid it's definitely going to if it is 0:00:23.010,0:00:30.330 a water if this was water this ball 0:00:27.630,0:00:34.140 would just fall through with ease if 0:00:30.330,0:00:37.380 this was probably glue a jar full of 0:00:34.140,0:00:39.480 glue and then you drop this ball in now 0:00:37.380,0:00:43.440 of course it's going to take some long 0:00:39.480,0:00:47.210 time before heat reaches the bottom now 0:00:43.440,0:00:50.309 this blue for example if this was blue 0:00:47.210,0:00:52.379 this ball would have difficulty going 0:00:50.309,0:00:56.280 through that blue up to the bottom 0:00:52.379,0:01:00.390 because this glue is peak the thickness 0:00:56.280,0:01:02.070 of that glue is as a result of what we 0:01:00.390,0:01:05.070 called viscosity we discussed this in 0:01:02.070,0:01:08.430 our previous sessions that viscosity is 0:01:05.070,0:01:11.909 simply the resistance to motion within 0:01:08.430,0:01:13.939 fluids now this is a body that is 0:01:11.909,0:01:16.140 flowing through this viscous fluid and 0:01:13.939,0:01:20.130 anybody that is flowing through a 0:01:16.140,0:01:23.250 viscous fluid will experience a kind of 0:01:20.130,0:01:25.530 retarding force or a resistive force 0:01:23.250,0:01:29.070 because of the viscosity of the fluid 0:01:25.530,0:01:31.680 now that viscous force that retarding 0:01:29.070,0:01:34.079 force is what we are calling the viscous 0:01:31.680,0:01:35.880 drag this viscous force that is 0:01:34.079,0:01:38.040 experienced as a result of the viscosity 0:01:35.880,0:01:41.790 of the fluid is what we are calling the 0:01:38.040,0:01:44.070 viscous drug and this Music's drug in 0:01:41.790,0:01:47.880 other what you can say is the force that 0:01:44.070,0:01:50.790 opposes motion of objects that are 0:01:47.880,0:01:51.840 dropping through the fluid so right here 0:01:50.790,0:01:53.670 we have a neuron diagram that 0:01:51.840,0:01:56.040 illustrates it better we have a solid 0:01:53.670,0:01:57.570 sphere here and probably it's having a 0:01:56.040,0:02:00.149 force it's moving in that direction with 0:01:57.570,0:02:03.180 a certain force F but we're having a 0:02:00.149,0:02:04.920 viscous fluid with all these layers in 0:02:03.180,0:02:07.680 the opposite direction so it means that 0:02:04.920,0:02:10.990 as this force is propelling this solid 0:02:07.680,0:02:13.960 sphere through this fluid this 0:02:10.990,0:02:16.780 these solid sphere experiences what we 0:02:13.960,0:02:21.250 call a viscous drug now this viscous 0:02:16.780,0:02:23.350 drug depends on some factors now some of 0:02:21.250,0:02:26.530 the factors that affect this viscous 0:02:23.350,0:02:29.700 drug we have of course what causes that 0:02:26.530,0:02:33.700 drug the resistance to motion we have 0:02:29.700,0:02:37.120 coefficient of viscosity it's a factor 0:02:33.700,0:02:39.880 in the magnitude of the viscous drug we 0:02:37.120,0:02:42.760 also have the size of the body or if 0:02:39.880,0:02:44.530 this body of course if the body is small 0:02:42.760,0:02:47.080 the amount of resistance that will be 0:02:44.530,0:02:50.200 experienced by a small body will not be 0:02:47.080,0:02:53.200 the same as the amount of resistance 0:02:50.200,0:02:54.520 that will be experienced by a big body 0:02:53.200,0:02:56.140 so meaning if we're talking about a 0:02:54.520,0:02:58.660 solid sphere in this case we'll be 0:02:56.140,0:03:01.900 talking about the radius of a sphere the 0:02:58.660,0:03:04.960 radius of the sphere will influence how 0:03:01.900,0:03:08.050 much resistance it will face as a body 0:03:04.960,0:03:10.000 then also we have what we call the the 0:03:08.050,0:03:13.930 velocity of the body through the viscous 0:03:10.000,0:03:16.180 fluid of course it's the day the body is 0:03:13.930,0:03:18.310 thrust with a very high force or with a 0:03:16.180,0:03:20.920 very low force as it's going through 0:03:18.310,0:03:23.290 that viscous fluid the velocity with 0:03:20.920,0:03:25.510 which that body is being thrown oh it is 0:03:23.290,0:03:27.790 going through that viscous fluid w #StokesLawDerivation #Physicsmaths