Joule heating and wall flexibility effects on the peristaltic flow of magnetohydrodynamic nanofluid

Consider the peristaltic flow of a conducting nanofluid in a 2D porous uniform/non-uniform channel. It is assumed that the x¯-axis is along the channel wall and y¯- axis is perpendicular to it. The flow is formed by a sinusoidal wave propagating along the elastic walls of the channel with a constant speed c (see Fig.1). The Joule heating and dissipation effects are considered.154