LEADER 00780nam 2200253la 450 001 9910481094103321 005 20210618142929.0 035 $a(UK-CbPIL)2090336947 035 $a(CKB)5500000000083403 035 $a(EXLCZ)995500000000083403 100 $a20210618d1490 uy | 101 0 $alat 135 $aurcn||||a|bb| 200 10$aPrivilegia Ordinis Praedicatorum$b[electronic resource] 210 $aVenice $cAndreas de Paltasichis, fl. 1476-1493$d1490 215 $aOnline resource (v.) 300 $aReproduction of original in Biblioteca Nazionale Centrale di Firenze. 700 $aAnon$0815482 801 0$bUk-CbPIL 801 1$bUk-CbPIL 906 $aBOOK 912 $a9910481094103321 996 $aPrivilegia Ordinis Praedicatorum$91937678 997 $aUNINA LEADER 03974nam 22006495 450 001 9911003694303321 005 20250518130236.0 010 $a3-031-88248-2 024 7 $a10.1007/978-3-031-88248-7 035 $a(CKB)38859070700041 035 $a(DE-He213)978-3-031-88248-7 035 $a(MiAaPQ)EBC32123760 035 $a(Au-PeEL)EBL32123760 035 $a(OCoLC)1524424258 035 $a(EXLCZ)9938859070700041 100 $a20250518d2025 u| 0 101 0 $aeng 135 $aur||||||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aControl Theory in Rheology $eAn Introduction to Practical Applications /$fby Tommi Borg 205 $a1st ed. 2025. 210 1$aCham :$cSpringer Nature Switzerland :$cImprint: Springer,$d2025. 215 $a1 online resource (XIII, 225 p. 123 illus., 59 illus. in color.) 311 08$a3-031-88247-4 327 $a1.Theoretical and Practical Rheology -- 2.The Principle of Control Theory (CT) -- 3.Basics of distribution Functions -- 4.Steady Shear Viscosity -- 5.Complex Viscosit -- 6.Relaxation Modulus -- 7.Converting RED function to MWD -- 8.From MWD to RED and back again -- 9.From measured viscosity data to MWD -- 10.Start-up and transient flow effects -- 11.Elongational viscosity -- 12.Temperature and viscoelastic relations -- 13.Computation Cases -- 14.Overview of the Unified Model -- 15.Hemorheological method for analyses -- 16.Comparison With other known models. 330 $aThis book bridges the gap between theoretical rheology and practical industry applications by introducing Control Theory (CT) and the linear Unified Model. This approach enables the modelling and analysis of various viscoelastic flows as well as polymer and macromolecular structures. In practical engineering, the design of machinery and equipment for polymers often relies on handbooks, respective textbooks, and numerous CAD-aided software tools based on empirical formulas. This book presents many useful viscoelastic constitutive equations for analysing and model shear and complex flows, relaxation modulus and spectrum, elongation, transient viscosity, and for computing the Molecular Weight Distribution (MWD) from viscoelastic measurements. The book adopts a counterintuitive approach, starting afresh and proceeding chronologically from steady-state viscosity and other flows relevant to practical engineering to the theoretical formulas of relaxation phenomena. It simplifies unnecessary complexity while still drawing on the well-documented motions of molecular chains. Furthermore, the book offers deeper insights into the background of power-law theories and the Cox-Merz rule, supplying new formulas for the relaxation modulus, spectrum, and various modules through the application of unified formulas. Professionals and scholars alike will find it a handy reference tool. 606 $aRheology 606 $aMathematical physics 606 $aFluid mechanics 606 $aAutomatic control 606 $aMaterials science$xData processing 606 $aRheology 606 $aMathematical Methods in Physics 606 $aEngineering Fluid Dynamics 606 $aControl and Systems Theory 606 $aComputational Materials Science 615 0$aRheology. 615 0$aMathematical physics. 615 0$aFluid mechanics. 615 0$aAutomatic control. 615 0$aMaterials science$xData processing. 615 14$aRheology. 615 24$aMathematical Methods in Physics. 615 24$aEngineering Fluid Dynamics. 615 24$aControl and Systems Theory. 615 24$aComputational Materials Science. 676 $a531.1134 700 $aBorg$b Tommi$4aut$4http://id.loc.gov/vocabulary/relators/aut$01821148 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9911003694303321 996 $aControl Theory in Rheology$94384765 997 $aUNINA