{"title":"Elastic Surfaces","authors":"T. Shinbrot","doi":"10.1093/oso/9780198812586.003.0002","DOIUrl":"https://doi.org/10.1093/oso/9780198812586.003.0002","url":null,"abstract":"In this chapter, the effects of elasticity are overviewed, the Young–Laplace equation is introduced, and the importance of nondimensionalization is emphasized. Topics covered include the Plateau–Rayleigh instability and dimensional analysis.","PeriodicalId":202349,"journal":{"name":"Biomedical Fluid Dynamics","volume":"8 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-04-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123523851","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Flow through Elastic Tubes","authors":"T. Shinbrot","doi":"10.1093/OSO/9780198812586.003.0003","DOIUrl":"https://doi.org/10.1093/OSO/9780198812586.003.0003","url":null,"abstract":"Fluids equations from Chapter 1 and elasticity equations from Chapter 2 are combined to establish how flow through elastic tubes (as in the vasculature) must occur. Unstable versus stable flows are considered, and concepts from complex analysis are introduced. The main topic is flow in elastic-walled tubes, whereas complex analysis is dealt with as an aside.","PeriodicalId":202349,"journal":{"name":"Biomedical Fluid Dynamics","volume":"108 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-04-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124062528","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Statistical Mechanics, Diffusion, and Self-Assembly","authors":"T. Shinbrot","doi":"10.1093/OSO/9780198812586.003.0011","DOIUrl":"https://doi.org/10.1093/OSO/9780198812586.003.0011","url":null,"abstract":"Equations for random wandering of particles are derived, and the phenomenon of entropic ordering is explained. Boltzmann’s particle-based approach to diffusion is compared to Maxwell’s continuum hypothesis, and van ’t Hoff’s formula for osmosis is obtained. Other topics include diffusivity, the distribution of energy, and the applications of Maxwell–Boltzmann statistics.","PeriodicalId":202349,"journal":{"name":"Biomedical Fluid Dynamics","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-04-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129398732","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Rheology in Complex Fluids 2","authors":"T. Shinbrot","doi":"10.1093/OSO/9780198812586.003.0010","DOIUrl":"https://doi.org/10.1093/OSO/9780198812586.003.0010","url":null,"abstract":"Blood flow is described, including changes in viscosity in narrow tubes and effects of shear-induced migration. Segregation of particles based on size is considered, and ordering of red blood cells is used as a model for spontaneous ordering in other systems. Unexpected consequences of diffusion are introduced.","PeriodicalId":202349,"journal":{"name":"Biomedical Fluid Dynamics","volume":"50 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-04-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114662961","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Shearing Flows around Cylinders and Spheres","authors":"T. Shinbrot","doi":"10.1093/OSO/9780198812586.003.0006","DOIUrl":"https://doi.org/10.1093/OSO/9780198812586.003.0006","url":null,"abstract":"Novel flows between rotating cylinders, of materials settling in tubes, and in roller bottles are described. Low speed flow around a sphere is derived, and paradoxical settling behaviors are mentioned, including the effects of red blood cells. Stokes drift and Magnus force on falling bodies near boundaries. A first example from scientific ethics is raised. The streamfunction and biharmonic equation are derived and applied to flow past a sphere.","PeriodicalId":202349,"journal":{"name":"Biomedical Fluid Dynamics","volume":"19 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-04-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123615401","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Self-Assembly and Beyond","authors":"T. Shinbrot","doi":"10.1093/OSO/9780198812586.003.0013","DOIUrl":"https://doi.org/10.1093/OSO/9780198812586.003.0013","url":null,"abstract":"Effects of combining reaction with diffusion are examined, and the resulting self-assembly of ordered patterns is overviewed. Turing patterns and limit cycle oscillations are shown to result from these considerations, and future avenues for research into these topics are briefly discussed. Additional topics include reaction-diffusion equations, and limit cycles wave solution, and the limit cycle.","PeriodicalId":202349,"journal":{"name":"Biomedical Fluid Dynamics","volume":"9 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-04-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129229727","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Intermezzo: Effects of Increasing Reynolds Number","authors":"T. Shinbrot","doi":"10.1093/OSO/9780198812586.003.0007","DOIUrl":"https://doi.org/10.1093/OSO/9780198812586.003.0007","url":null,"abstract":"Effects of increasing fluid speed are analyzed. The Bernouilli and vorticity equations are derived, and the method of matching solutions is described for the Rankine vortex. Cases in which rotational flow is mandatory are explained, and bifurcations, hydraulic jumps, and transitions between stable and unstable behaviors are introduced. The ethical views of Hans Bethe and Edward Teller are contrasted. Other topics include potential flow around both cylinders and spheres and lessons that can be learnt about flow over a wavy streambed.","PeriodicalId":202349,"journal":{"name":"Biomedical Fluid Dynamics","volume":"261 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-04-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122761017","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Rheology in Complex Fluids 1","authors":"T. Shinbrot","doi":"10.1093/OSO/9780198812586.003.0009","DOIUrl":"https://doi.org/10.1093/OSO/9780198812586.003.0009","url":null,"abstract":"Complex flows are described, including shear thinning, shear thickening, and yield-stress. Mechanisms of changing viscosity in dense suspensions are explored, including the relevance of the lubrication approximation, dilatency, and the spaghetti model of polymers. Liquid crystal alignment is discussed, and model equations are introduced for flows in packed beds. The viscosity of synovial fluid is described, and equations to combine viscous and elastic behaviors are obtained.","PeriodicalId":202349,"journal":{"name":"Biomedical Fluid Dynamics","volume":"30 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-04-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115814583","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Diffusion","authors":"T. Shinbrot","doi":"10.1093/oso/9780198812586.003.0012","DOIUrl":"https://doi.org/10.1093/oso/9780198812586.003.0012","url":null,"abstract":"The diffusion equation is derived and solved for simple geometries. Fourier series are described, and superposition is used to combine simple solutions into more complicated ones. Advection is combined with diffusion, and compartment models defining diffusion between contacting systems (e.g. a pill, the gut, the bloodstream and tissues) are described.","PeriodicalId":202349,"journal":{"name":"Biomedical Fluid Dynamics","volume":"27 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-04-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125219489","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Inviscid Flows","authors":"T. Shinbrot","doi":"10.1093/oso/9780198812586.003.0008","DOIUrl":"https://doi.org/10.1093/oso/9780198812586.003.0008","url":null,"abstract":"Remarkable changes in drag are described as fluid speed is increased, and methods to reduce drag at high speed are described. The Stokes paradox is considered, as are the effects of Reynolds number and roughness on drag. The use of conformal mappings to obtain flow streamlines is defined for problems including flow past an airfoil, flow past a step, and over a cavity.","PeriodicalId":202349,"journal":{"name":"Biomedical Fluid Dynamics","volume":"39 5 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-04-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132976323","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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