multiprocess the rows of a dataframe

I have a dataframe df1 with N rows. Each row, through complicated calculations, will result in up to K rows. So the source dataframe df1 with N rows will result in an output dataframe dfY with NxK rows. The real df1 can have N=1,000 rows, with calculations that can take 1s per row and can generate several thousand output rows K for each processed row N. Multiprocessing would be useful.

For simplicity, let’s assume that the algorithm that calculates the K rows is just a silly way to prepare a cross product, but without using merge. My problem is that the following example works without multiprocessing, within 12ms: function unip().

But with multiprocessing, the code gets stuck in some endless loop: function multip(). What do I do wrong when I try to apply row-wise multiprocessing to df1 in multip()?

import pandas as pd
import numpy as np
import multiprocessing as mp  

df1 = pd.DataFrame(np.array(np.meshgrid(['A', 'B', 'C'], ['X', 'Y', 'Z'])).T.reshape(-1,2), columns=['Product', 'Store'])
df1.iloc[[0,-1]]

df2 = pd.DataFrame(np.arange(1,13), columns=['Month'])
df2.iloc[[0,-1]]

def row_to_df(row):
    dfX = df2.copy()
    dfX.loc[:, "Product"] = row[0]  #row["Product"]
    dfX.loc[:, "Store"] = row[1]    #row["Store"]
    return dfX

def unip():
    for i, row in enumerate(df1.itertuples(index=False)):
        dfX = row_to_df(row)
        if i == 0:
            dfY = dfX.copy()
        else:
            dfY = pd.concat([dfY, dfX], axis=0)
    return dfY




def iterate_rows(df):
    for i, row in enumerate(df.itertuples(index=False)):
        dfX = row_to_df(row)
        if i == 0:
            dfY = dfX.copy()
        else:
            dfY = pd.concat([dfY, dfX], axis=0)
    dfY = dfY.reset_index(drop=True)
    display(dfY)
    return dfY


def multip():
    Nrows = df1.shape[0]
    Ncores = mp.cpu_count()
    Nparts = min([Nrows, Ncores])
    listParts = np.array_split(df1, Nparts)
    pool = mp.Pool(Ncores)
    dfY = pd.concat(pool.map(row_to_df, [iterate_rows(df) for df in listParts]))
    pool.close()
    pool.join()
    return dfY

%%time
dfY = unip()
dfY

%%time
dfY = multip()
dfY

The display(dfY) in iterate_rows() shows that multip creates the dataframe chunks for the Product/Store rows from (A,X) to (C,Z) as intended. But multip never completes their concatenation as unip() does.