Analītiskie atrisinājumi magnetohidrodinamiskām problēmām par vadītspējīga šķidruma plūsmu kanāla ieejas apgabalā stiprā magnētiskā laukā

6533b7ddfe1ef96bd127386d

RESEARCH PRODUCT

Analītiskie atrisinājumi magnetohidrodinamiskām problēmām par vadītspējīga šķidruma plūsmu kanāla ieejas apgabalā stiprā magnētiskā laukā

Jeļena Liģere

subject

Fizika materiālzinātne matemātika un statistika Matemātika

description

ANOTĀCIJA Darbā iegūti analītiskie atrisinājumi magnetohidrodinamiskiem (MHD) uzdevumiem par elektrovadoša šķidruma plūsmu plakanā un cilindriskā kanālā stiprā magnētiskā laukā gadījumiem, kad šķidrums ietek kanālos caur galīga platuma spraugu vai caur galīga rādiusa atveri kanāla sānu malā. Pamatojoties uz iegūtajiem atrisinājumiem, veikta plūsmas ātruma lauka skaitliskā analīze. Iegūti uzdevumu asimptotiskie atrisinājumi lieliem Hartmana skaitļiem. Turklāt darbā pētīta pilna spiediena spēka šķidruma ieplūdes apgabalā atkarība no funkcijas veida, ar kuru ir uzdots ātruma robežnosacījums. Pētījums veikts analītiski, risinot divas hidrodinamiskas problēmas un divas MHD problēmas par viskoza šķidruma ietecēšanu pustelpā caur galīga platuma spraugu vai caur galīga rādiusa atveri. Gadījumā, kad uz ieejas pustelpā uzdots parabolisks ātruma profils, MHD uzdevumam iegūti jauni asimptotiskie atrisinājumi pie lieliem Hartmana skaitļiem. Visi uzdevumi promocijas darbā atrisināti Stoksa vai Ozeena tuvinājumā, izmantojot integrālo transformāciju metodi. Atslēgas vārdi: magnetohidrodinamika, šķidruma plūsma, plakans kanāls, cilindrisks kanāls, Stoksa un Ozeena tuvinājumi, integrāla transformācija.

year	journal	country	edition	language
2014-01-01

https://dspace.lu.lv/dspace/handle/7/4147

PEPhysical Sciences and Engineering
- PE2Fundamental Constituents of Matter
  - PE2_1Theory of fundamental interactions
  - PE2_2 Phenomenology of fundamental interactions
  - PE2_3Experimental particle physics with accelerators
  - PE2_4Experimental particle physics without accelerators
  - PE2_6Nuclear, hadron and heavy ion physics
  - PE2_8Gas and plasma physics
  - PE2_5Classical and quantum physics of gravitational interactions
  - PE2_7Nuclear and particle astrophysics
  - PE2_9 Electromagnetism
  - PE2_10Atomic, molecular physics
  - PE2_11Ultra-cold atoms and molecules
  - PE2_18Equilibrium and non-equilibrium statistical mechanics: steady states and dynamics
  - PE2_14Lasers, ultra-short lasers and laser physics
  - PE2_17Metrology and measurement
  - PE2_16Non-linear physics
  - PE2_12Optics, non-linear optics and nano-optics
  - PE2_13Quantum optics and quantum information
  - PE2_15Thermodynamics
- PE1Mathematics
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  - PE1_6Geometry and global analysis
  - PE1_8Analysis
  - PE1_7Topology
  - PE1_9Operator algebras and functional analysis
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  - PE1_12Mathematical physics
  - PE1_11Theoretical aspects of partial differential equations
  - PE1_13Probability
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  - PE1_19Scientific computing and data processing
  - PE1_2Algebra
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  - PE1_3Number theory
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LSLife Sciences
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  - LS4_1Organ and tissue physiology and pathophysiology
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SHSocial Sciences and Humanities
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