Heat transfer spray model: An improved theoretical thermal time-response to uniform layers deposit using Bessel and Boubaker polynomials

Dada, Michael O.; Awojoyogbe, Bamidele O.; Boubaker, K.

doi:10.1016/j.cap.2008.05.016

Cited by 31 publications

(24 citation statements)

References 13 publications

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“…The Boubaker polynomials expansion scheme (BPES) [34][35][36][37][38][39][40][41][42][43][44][45][46][47][48][49][50][51][52] is a resolution protocol which has been successfully applied to several applied-physics and mathematics problems. The BPES protocol ensures the validity of the related boundary conditions regardless of main equation features.…”

Section: Solution Using the Boubaker Polynomials Expansion Scheme (Bpmentioning

confidence: 99%

“…Several solutions have been proposed through the BPES in many fields such as numerical analysis [34][35][36][37], theoretical physics [38][39][40][41], mathematical algorithms [42], heat transfer [43], homodynamic [44,45], material characterization [46], fuzzy systems modeling [47][48][49][50], and biology [51,52].…”

Section: Solution Using the Boubaker Polynomials Expansion Scheme (Bpmentioning

confidence: 99%

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Analysis of Radiative Radial Fin with Temperature-Dependent Thermal Conductivity Using Nonlinear Differential Transformation Methods

Torabi

Yaghoobi

Colantoni

et al. 2013

Chinese Journal of Engineering

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Radiative radial fin with temperature-dependent thermal conductivity is analyzed. The calculations are carried out by using differential transformation method (DTM), which is a seminumerical-analytical solution technique that can be applied to various types of differential equations, as well as the Boubaker polynomials expansion scheme (BPES). By using DTM, the nonlinear constrained governing equations are reduced to recurrence relations and related boundary conditions are transformed into a set of algebraic equations. The principle of differential transformation is briefly introduced and then applied to the aforementioned equations. Solutions are subsequently obtained by a process of inverse transformation. The current results are then compared with previously obtained results using variational iteration method (VIM), Adomian decomposition method (ADM), homotopy analysis method (HAM), and numerical solution (NS) in order to verify the accuracy of the proposed method. The findings reveal that both BPES and DTM can achieve suitable results in predicting the solution of such problems. After these verifications, we analyze fin efficiency and the effects of some physically applicable parameters in this problem such as radiation-conduction fin parameter, radiation sink temperature, heat generation, and thermal conductivity parameters.

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Section: Solution Using the Boubaker Polynomials Expansion Scheme (Bpmentioning

confidence: 99%

Section: Solution Using the Boubaker Polynomials Expansion Scheme (Bpmentioning

confidence: 99%

Analysis of Radiative Radial Fin with Temperature-Dependent Thermal Conductivity Using Nonlinear Differential Transformation Methods

Torabi

Yaghoobi

Colantoni

et al. 2013

Chinese Journal of Engineering

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“…where B 4k are the 4k-order Boubaker polynomials [28][29][30][31][32][33][34][35][36][37][38][39][40][41][42][43][44], r k are B 4k minimal positive roots, N 0 is a prefixed integer, and ξ k | k=1,...,N0 are unknown pondering real coefficients. This expression refers to the Boubaker polynomials expansion scheme (BPES) [29][30][31].…”

Section: Governing Equationsmentioning

confidence: 99%

“…Several solutions have been proposed through the BPES in many fields such as numerical analysis [28][29][30][31], theoretical physics [31][32][33][34], mathematical algorithms [35], heat transfer [36], homodynamic [37,38], material characterization [39], fuzzy systems modeling [40][41][42], and biology [43,44]. The main advantage of this formulation (9) is the verification of boundary conditions, expressed in (4), in advance to resolution process, along with affording controllable and easy-to-access first derivatives of E(η).…”

Section: Governing Equationsmentioning

confidence: 99%

A Model for Conjoint Shape Memory and Pseudo-Elastic Effects during Martensitic Transformation

Boubaker

2012

ISRN Metallurgy

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Shape memory alloys (SMA) are metals which can restore their initial shape after having been subjected to a deformation. They exhibit in general both nonlinear shape memory and pseudoelastic effects. In this paper, shape memory alloy (SMA) and its constitutive model with an empirical kinetics equation are investigated. A new formulation to the martensite fractiondependent Young modulus has been adopted and the plastic deformation was taken into account. To simulate the variations, a one-dimensional constitutive model was constructed based on the uniaxial tension features.

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“…The resolution of system (2) along with boundary conditions has been achieved using the Boubaker Polynomials Expansion Scheme BPES [18][19][20][21][22][23][24][25][26][27][28][29][30][31][32][33][34][35][36][37]. This scheme is a resolution protocol which has been successfully applied to several applied-physics and mathematics problems.…”

Section: Fundaments Of the Boubaker Polynomials Expansion Scheme Bpesmentioning

confidence: 99%

Approximate solutions for the model of evolution of cocaine consumption in Spain using HPM and BPEs methods

Vázquez-Leal

Boubaker

2014

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ResumenEn este trabajo, dos métodos son aplicados a un sistema de ecuaciones diferenciales no lineales que modela la evolución del consumo de cocaína en España. Consideraciones teóricas han sido detalladas como guías para demostrar la potencia y la confiabilidad de ambos métodos. Al comparar los resultados obtenidos empleando éstas técnicas se revela que son muy eficientes y convenientes. Palabras clave: Consumo de cocaína, ecuaciones diferenciales no lineales, modelos matemáticosRecepción: 24-07-201324-07- Aceptación: 18-03-2014 AbstractIn this paper, two methods are applied to a system of nonlinear differential equations that models the evolution of consumption of cocaine in Spain. Theoretical considerations have been detailed as guides to demonstrate the ability and reliability of both methods. Comparing results obtained by employing these techniques revealed that they are effective and convenient.

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Heat transfer spray model: An improved theoretical thermal time-response to uniform layers deposit using Bessel and Boubaker polynomials

Cited by 31 publications

References 13 publications

Analysis of Radiative Radial Fin with Temperature-Dependent Thermal Conductivity Using Nonlinear Differential Transformation Methods

Analysis of Radiative Radial Fin with Temperature-Dependent Thermal Conductivity Using Nonlinear Differential Transformation Methods

A Model for Conjoint Shape Memory and Pseudo-Elastic Effects during Martensitic Transformation

Approximate solutions for the model of evolution of cocaine consumption in Spain using HPM and BPEs methods

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