Search results for: FRICTIONAL HEAT

• Functional delay fractional equations

  Publication

  • T. Jankowski

  - Fractional Calculus and Applied Analysis - Year 2016

  In this paper, we discuss functional delay fractional equations. A Banach fixed point theorem is applied to obtain the existence (uniqueness) theorem. We also discuss such problems when a delay argument has a form α(t) = αt, 0 < α < 1, by Rusing the method of successive approximations. Some existence results are also formulated in this case. An example illustrates the main result.

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• Modelling heat transfer in heterogeneous media using fractional calculus

  Publication

  • D. Sierociuk
  • A. Dzieliński
  • G. Sarwas
  • I. Petras
  • I. Podlubny
  • T. Skovranek

  - PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES - Year 2013

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• Modeling Heat Transfer in Heterogeneous Media Using Fractional Calculus

  Publication

  • D. Sierociuk
  • A. Dzielin´ski
  • G. Sarwas
  • I. Petras
  • I. Podlubny
  • T. Skovranek

  - Year 2011

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• Heart Beat Journal

  Journals

  eISSN: 2543-6333

• Partition of friction heat between sliding semispaces due to adhesion-deformational heat generation

  Publication

  • O. Nosko

  - INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER - Year 2013

  Analytical expressions of heat-partition coefficient and contact temperatures for two sliding semispaces with account for adhesion-deformational heat generation and contact heat exchange have been obtained. The rate of deformational heat generation is assumed to decay exponentially with increase of distance from the interface. It has been shown that heat-generation configuration and the intensity of contact heat exchange have impact...

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• INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER

  Journals

  ISSN: 0017-9310 , eISSN: 1879-2189

• HEAT TRANSFER ENGINEERING

  Journals

  ISSN: 0145-7632 , eISSN: 1521-0537

• Numerical solution analysis of fractional point kinetics and heat exchange in nuclear reactor

  Publication

  • T. Nowak
  • K. Duzinkiewicz
  • R. Piotrowski

  - NUCLEAR ENGINEERING AND DESIGN - Year 2015

  The paper presents the neutron point kinetics and heat exchange models for the nuclear reactor. The models consist of a nonlinear system of fractional ordinary differential and algebraic equations. Two numerical algorithms are used to solve them. The first algorithm is application of discrete Grünwald-Letnikov definition of the fractional derivative in the model. The second involves building an analog scheme in the FOMCON Toolbox...

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• Numerical Investigation of Nuclear Reactor Kinetic and Heat Transfer Fractional Model with Temperature Feedback

  Publication

  • T. Nowak
  • K. Duzinkiewicz
  • R. Piotrowski

  - Year 2015

  Abstract—In the paper, the numerical results concerning the kinetics and proposed heat exchange models in nuclear reactor based on fractional calculus are presented for typical inputs. Two fractional models are proposed and compared with the model based on ordinary derivative. The first fractional model is based on one of the generalized Cattaneo equations. The second one is based on replacing the ordinary to fractional order of...

• Heart rate variability and functional outcome in ischemic stroke

  Publication

  • B. Graff
  • D. Gąsecki
  • A. Rojek
  • P. Boutouyrie
  • W. Nyka
  • S. Laurent
  • K. Narkiewicz

  - JOURNAL OF HYPERTENSION - Year 2013

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