MHD Maxwell Fluid with Heat Transfer Analysis under Ramp Velocity and Ramp Temperature Subject to Non-Integer Differentiable Operators

Abdeljawad, Thabet; Riaz, Muhammad Bilal; Saeed, Syed Tauseef; Iftikhar, Nazish

doi:10.32604/cmes.2021.012529

Cited by 16 publications

(7 citation statements)

References 36 publications

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“…The map was popularized in a seminal 1976 paper by the biologist Robert May, in part as a discrete-time demographic model analogous to the logistic equation first created by Pierre François Verhulst. One-dimensional Logistic mapping is the most widely applied chaotic mapping currently, the chaotic models generated by it are also known as insect amount model, and its mathematical defined as follows [16][17] [ [25][26][27] 1 0 (1 ).…”

Section: Arnold Transformation Using the Fractional Logistic Mapmentioning

confidence: 99%

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Image Encryption Based on Arnod Transform and Fractional Chaotic

Chen¹,

Zhang²,

Wu³

2021

Preprint

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In view of the problem of cracking easily and partial distortion of images after encryption or decryption, a novel image encryption and decryption algorithm based on Arnod Transform and fractional chaotic is proposed. To begin with, the Arnold transform is used to encrypt. So that the spatial confidence of the original image has been comprehensively disturbed. Secondly, the XOR involving the fractional order chaotic sequence is used to encrypt. The key sequence is dynamically generated to ensure the randomness and difference of key generation. When decryption is required, the first decryption is performed using the key and XOR. Then the second decryption is carried out by using the inverse Arnold transform, and finally the decrypted image is obtained. Experimental results show that the improved algorithm has achieved better performance in encryption and decryption.

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Section: Arnold Transformation Using the Fractional Logistic Mapmentioning

confidence: 99%

“…Inspired by Guocheng Wu 's related literature [22], and non-Fourier's heat flux and non-Fick's mass flux theory had been used to save the numerical study of bioconvection flow of nanofluids [23][24][25][26][27]. we introduce the fractional order chaotic sequence to improve the Arnold transform.…”

Section: Arnold Transformation Using the Fractional Logistic Mapmentioning

confidence: 99%

Image Encryption Based on Arnod Transform and Fractional Chaotic

Chen¹,

Zhang²,

Wu³

2021

Preprint

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“…Fuzzy sets also actually be a good method for modelling the unpredictability brought up by imprecision and vagueness. We implement it here to areas where needs to be explained ambiguity, such as medical, ecologic, social, financial, and sciences [8][9][10][11][12][13][14][15]. In 1965, Zadeh proposed the set theory of fuzzy to investigate these issues [16].…”

Section: Introductionmentioning

confidence: 99%

Study of Fuzzy Fractional Third-Order Dispersive KdV Equation in a Plasma under Atangana-Baleanu Derivative

Areshi

El-Tantawy

Alotaibi

et al. 2022

Journal of Function Spaces

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Motivated by the wide-spread of both integer and fractional third-order dispersive Korteweg-de Vries (KdV) equations in explaining many nonlinear phenomena in a plasma and many other fluid models, thus, in this article, we constructed a system for calculating an analytical solution to a fractional fuzzy third-order dispersive KdV problems. We implemented the Shehu transformation and the iterative transformation technique under the Atangana-Baleanu fractional derivative. The achieved series result was contacted and determined the analytic value of the suggested models. For the confirmation of our system, three various problems have been represented, and the fuzzy type solution was determined. The fuzzy results of upper and lower section of all three problems are simulate applying two different fractional orders among zero and one. Because it globalises the dynamic properties of the specified equation, it delivers all forms of fuzzy solutions occurring at any fractional order among zero and one. The present results can help many researchers to explain the nonlinear phenomena that can create and propagate in several plasma models.

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“…They used the homotopy analysis method to calculate the governing equation and Mathematica software (Wolfram Mathematica, New Jersey, NJ, United State) to provide a graphical illustration of the velocity gradient, temperature, and concentration gradient of the Casson model. Although research on the Casson model is ongoing, we include some related studies based on heat transfer [25][26][27][28][29], fractional models of fluids with magnetic field [30][31][32][33][34][35][36][37][38][39][40], and some others [41][42][43][44][45][46][47][48][49][50][51][52][53][54] herein. Motivated by the above discussion, we analyzed an analytic solution of incompressible and magnetic Casson fluid subjected to temperature and concentration dependence within a porous-surfaced plate.…”

Section: Introductionmentioning

confidence: 99%

Exact Symmetric Solutions of MHD Casson Fluid Using Chemically Reactive Flow with Generalized Boundary Conditions

et al. 2021

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Dynamic analysis of magnetic fluids with the combined effect of heat sink and chemical reactions based on their physical properties demonstrates strong shock resistance capabilities, low-frequency response, low energy consumption, and high sensitivity. Therefore, the applied magnetic field always takes diamagnetic, ferromagnetic, and paramagnetic forms. The influence of radiation is considered in the temperature profile. This manuscript investigates an analytic solution of incompressible and magnetic Casson fluid in Darcy’s medium subjected to temperature and concentration dependence within a porous-surfaced plate with generalized boundary conditions. The substantial mathematical technique of the Laplace transform with inversion is invoked in the governing equations of the magnetic Casson fluid. The analytic results are transformed into a special function for the plate with a constant velocity, a plate with linear velocity, a plate with exponential velocity, and a plate with sinusoidal velocity. Graphical illustrations of the investigated analytic solutions at four different times are presented. Our results suggest that the velocity profile decreases by increasing the value of the magnetic field, which reflects the control of resistive force. The Nusselt number remains constant at a fixed Rd and is reduced by raising the Rd value.

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MHD Maxwell Fluid with Heat Transfer Analysis under Ramp Velocity and Ramp Temperature Subject to Non-Integer Differentiable Operators

Cited by 16 publications

References 36 publications

Image Encryption Based on Arnod Transform and Fractional Chaotic

Image Encryption Based on Arnod Transform and Fractional Chaotic

Study of Fuzzy Fractional Third-Order Dispersive KdV Equation in a Plasma under Atangana-Baleanu Derivative

Exact Symmetric Solutions of MHD Casson Fluid Using Chemically Reactive Flow with Generalized Boundary Conditions

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