In this work, the Truncated M−fractional Klein–Gordon (tM-fKG) equation is integrated by implementing exp(-ϕ(ξ))-expansion and new form of modified Kudryashov's schemes. The novel exponential, hyperbolic, trigonometric, rational solutions multi-soliton with free parameters are achieved help Taking special values parameters, multi-bell wave, periodic rogue, linked soliton solution through bright dark bell shape, wave rogue schemes successfully constract, which significantly stimulating...

Numerical study of natural convection flow in a hexagonal enclosure with single vertical fin attached to its heated bottom wall has been carried out. Finite element method based Galerkin weighted residual technique is used solve the governing equation. The horizontal walls are kept at constant high temperature while inclined cold temperature. A hot length position from left surface having thickness . Prandlt number for inside 0.71. results problem presented graphical and tabular forms...

The present work is focused on the unsteady MHD boundary layer flow and heat transfer over a wedge stretching surface moving in nanofluid with effects of various dimensionless parameters by using Boungiorno model. solution for velocity, temperature nanoparticle concentration depends like Prandtl number Pr, Brownian motion Nb, thermophoresis Nt, unsteadiness parameter A, velocity ratio λ, pressure gradient β magnetic M. local similarity transformation used to convert governing partial...

The hydrodynamic mixed convection in a lid- driven square cavity including elliptic shape heated block with corner heater is numerically simulated this paper following finite element method approach. enclosure by heaters which are under isothermal boundary conditions different length bottom and right vertical walls. lid having lower temperature than heaters. other boundaries of the insulated. A uniform magnetic field applied along horizontal direction. study performed for Grashof Hartmann...

The present study aims to analyze the natural convection flow and heat transfer in a wavy cavity with single horizontal fin attached its hot wall. Galerkin weighted residual finite element technique has been employed solve governing nonlinear dimensionless equations. effects of model parameters like Rayleigh number, length location on fluid are investigated. obtained results exhibited graphically terms structure, temperature dispersion, velocity field, effectiveness, local Nusselt average...

Hydrodynamic mixed convection in a lid-driven hexagonal cavity with corner heater is numerically simulated this paper by employing finite element method. The working fluid assigned as air Prandtl num-ber of 0.71 throughout the simulation. left and right walls hex-agonal are kept thermally insulated lid moves top to bottom at constant speed U0. enclosure maintained cold temperature Tc. wall considered whereas remaining part adiabatic inside square shape heated block Th. focus work investigate...

This study explores the numerical investigation of magnetohydrodynamic free convection flow within a rectangular cavity featuring triangular obstacle near corner heater. The upper horizontal wall is maintained at cool temperature, while right bottom heated, and remaining walls are kept adiabatic. Solving governing nonlinear differential equations for general problems, along with boundary conditions, accomplished using Galerkin weighted residual finite element method. simulation spans broad...

Abstract Double diffusive mixed convection in an open channel with a circular heater on the bottom wall has been investigated this paper. Constant temperatures and concentrations are considered along semi-circle lateral walls of adiabatic. Galerkin weighted residual finite element method have used to solve governing equations. Calculations were performed for Rayleigh numbers Lewis number. Reynolds Prandtl fixed as 100 0.7 whole study, respectively. Various characteristics such streamlines,...

The mixed convection in square lid-driven with internal elliptic body and constant flux heat source on the bottom wall is numerically simulated this paper following a finite element method approach. left moving right are cold. upper insulated so lower located middle. magnetic field of strength B applied parallel to x- axis. Result presented for different Richardson numbers (0.01 ? Ri 10) when Grashof (10 Gr 50) Prandtl number taken as Pr = 0.733 all computations. influence surface being...

This study investigated the effects of aspect ratio cavity for average fluid temperature at exit port, Nusselt number, maximum in domain, drag coefficient, isotherms and streamlines on behalf different Hartmann numbers Rayleigh numbers. Solution governing equations momentum energy has been made by finite element technique. Above mentioned parameters such as an which is height to length change from Ar = 0.5 2 Ra 103 105 Ha 0 50 respectively. Prandtl number Pr 7 Reynolds Re 100 fixed this...

Mixed convection heat transfer in a two-dimensional the effect of hydromagnetic mixed double lid driven square cavity with inside elliptic heated block is studied numerically. The left wall and was kept at Th while right cold temperature Tc > Tc. assumed to be upper moving lower directions respectively. magnetic field strength B applied parallel x- axis. Result presented firstly for different Reynolds number (50 ? Re 150), Prandtl Pr= 0.733 Grashof (103 Gr 106). numerical results number,...

The present problem deals with the effect of various dimensionless parameters on forced convection unsteady MHD boundary layer flow and heat transfer over a permeable wedge stretching surface in nanofluid. effects Brownian motion thermophoresis are considered. solution for velocity, temperature nanoparticle concentration depends like Prandtl number Pr, velocity ratio parameter λ, permeability K*, A, pressure gradient β, magnetic M. local similarity transformation is used to convert governing...

The present study is conducted to investigate heat and fluid flow in an open channel having a circular heater on the bottom surface under magnetic field. semi-circle heated isothermally other walls of are kept adiabatic. consequent mathematical model governed by coupled equations mass, momentum energy solved employing Galerkin weighted residual method finite-element technique. A wide range pertinent parameters such as Rayleigh numbers (Ra), Hartmann (Ha) considered study. In addition, mixed...

The present study is performed to find the similarity solution like Blasius and also analyzed effect of various dimensionless parameters on momentum, thermal nanoparticle concentration. In this respect we have considered magnetohydrodynamic (MHD) unsteady boundary layer nanofluid flow heat – mass transfer along a porous stretching surface. So governing partial differential equations are transformed ordinary by using transformations. numerical taken applying Nachtsgeim-Swigert shooting...

A numerical analysis of MHD mixed convection in a lid-driven cavity with wavy top wall and rectangular heaters at the bottom has been carried out present study. The lower three temperature Th while ismaintained partially cold Tc remaining parts are kept adiabatic. Moreover, both left right walls sliding velocity 5m/s -5m/s respectively. Two-dimensional Navier-Stokes energy equationshave solved by using Galerkin weighted residual scheme finite element method. To investigate effect Grashof...

The purpose of this paper is to investigate the simulation mixed convection in a lid-driven wavy enclosure with blocks positioned at various positions. This study also examined impact longitudinal position heated block on heat transfer enhancement. Galerkin weighted residual finite element method employed computationally solve governing equations Navier-Stokes, thermal energy, and mass conservation. consists two square strategically placed different heights—firstly, one set closer bottom...

The present numerical study explores the MHD mixed convection heat transfer of nanofluid in a lid-driven porous rectangular cavity with three square heating blocks. Governing equations are solved using finite element method. top and bottom walls enclosure maintained at temperature Tc. left right kept adiabatic. Three block inside enclosure. To investigate effects Darcy number Richardson on fluid flow characteristics A set graphical results presented terms streamlines, isotherms,...

The physical model considered here is a lid-driven porous square cavity with internal elliptic shape adiabatic block and linearly heated side walls. top moving wall well cold set uniform velocity. bottom heated, walls inside the adiabatic. relevant parameters in present study are Darcy number Da = 10−5-10−3, Grashof Gr 103-105, Reynolds Re 1-102 Prandtl Pr 0.7. isotherms also almost symmetric at small higher (Gr 105) (Da 10−3) natural convection found to be dominant whereas compressed near...

Hydrodynamic mixed convection in a lid-driven porous square cavity with internal heat generating elliptic block is numerically simulated this paper by employing finite element method. The working fluid assigned as air Prandtl number of 0.71 throughout the simulation. top lid moves left to right at constant speed (U0)with cold temperature and while bottom (−U0) hot temperature. wall heated linearly placed center cavity. effects governing parameters present study are namely, Rayleigh Ra, Darcy...

The numerical simulation of free convection flow within a square-shaped enclosure for various orientations elliptic blockage (EB) is performed in the present study. bottom wall cavity remains uniformly heated, where left and right (side) walls as well boundary are insulated top at cool temperature. As $Pr$ constant, effects different values $Ra$ have great influence on overall fluid temperature gradient three locations: (BEB), center (CEB) (TEB), mass circulation has been identified, state...

This present numerical simulation of mixed convection heat transfer nanofluid in a lid-driven porous medium square enclosure with several pairs source-sinks. Two-dimensional Navier-Stokes, energy and volume fraction equations are solved using the finite element method. The top bottom walls maintained at cold temperature Tc. left right kept adiabatic. Both move uniform velocity considered. Two heating blocks inside enclosure. fluid is water based containing type solid spherical nanoparticles...

Magnetohydrodynamic mixed convection in a double lid driven porous square enclosure filled with copper- water nanofluid heat generating elliptic block has been numerically simulated this paper. The governing differential equations are solved by finite element method (Galerkin weighted residual method). top moves at constant speed cold temperature. bottom heated temperature, linearly left and right wall, body is placed the center. magnetic field of strength B applied parallel to x-axis....

In the present study Effect of Rayleigh number magneto-convection in a lid driven square cavity with sinusoidal wall were investigated numerically. The horizontal bottom and top walls are adiabatic. left right vertical temperatures Th Tc respectively Th>Tc. governing equations along appropriate boundary conditions for problem first transformed into non-dimensional form resulting non linear system partial differential then solved numerically using Galerkin's finite element method. Parametric...